Prosecution Insights
Last updated: April 19, 2026
Application No. 18/854,609

METHOD FOR PERFORMING POLYNOMIAL MULTIPLICATION OPERATIONS

Non-Final OA §101
Filed
Oct 07, 2024
Examiner
REZA, MOHAMMAD W
Art Unit
2407
Tech Center
2400 — Computer Networks
Assignee
Thales Dis France SAS
OA Round
1 (Non-Final)
88%
Grant Probability
Favorable
1-2
OA Rounds
2y 11m
To Grant
98%
With Interview

Examiner Intelligence

Grants 88% — above average
88%
Career Allow Rate
825 granted / 943 resolved
+29.5% vs TC avg
Moderate +11% lift
Without
With
+10.9%
Interview Lift
resolved cases with interview
Typical timeline
2y 11m
Avg Prosecution
15 currently pending
Career history
958
Total Applications
across all art units

Statute-Specific Performance

§101
14.6%
-25.4% vs TC avg
§103
47.5%
+7.5% vs TC avg
§102
6.1%
-33.9% vs TC avg
§112
12.9%
-27.1% vs TC avg
Black line = Tech Center average estimate • Based on career data from 943 resolved cases

Office Action

§101
Notice of Pre-AIA or AIA Status The present application, filed on or after March 16, 2013, is being examined under the first inventor to file provisions of the AIA . DETAILED ACTION Claims 1-9 are presented for examination. Claim Rejections - 35 USC § 101 35 U.S.C. 101 reads as follows: Whoever invents or discovers any new and useful process, machine, manufacture, or composition of matter, or any new and useful improvement thereof, may obtain a patent therefor, subject to the conditions and requirements of this title. 2. Claims 1-9 are rejected under 35 U.S.C. 101 because the claimed invention is directed to an abstract idea (35 U.S.C. 101 Judicial Exception) without significantly more. The claims recite “computing (P1) a polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]…”, “determining (S13) from said multiplication result said polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]”, and “performing (S21) said cryptographic algorithm using said determined polynomial result” is a mental and mathematical concept which are directed to the abstract idea of mental processes. This judicial exception is not integrated into a practical application because the generically recited computer elements do not add a meaningful limitation to the abstract idea because they amount to simply implementing the abstract idea on a computer. The claims do not include additional elements that are sufficient to amount to significantly more than the judicial exception because the additional elements, when considered separately and in combination, do not add significantly more to the abstract idea, as they are well-understood, routine, conventional computer functions as recognized by the courts. Based upon consideration of all the relevant factors with respect to the claimed invention as a whole, the claims are determined to be directed to an abstract idea without significantly more. The rationale for this determination is explained infra: The following are Principles of Law: A patent may be obtained for “any new and useful process, machine, manufacture, or composition of matter, or any new and useful improvement thereof”; 35 U.S.C. § 101. The Supreme Court has consistently held that this provision contains an important implicit exception: laws of nature, natural phenomena, and abstract ideas are not patentable; See Alice Corp. v. CLS Bank Int’l, 134 S. Ct. 2347, 2354 (2014); Gottschalk v. Benson, 409 U.S. 63, 67 (1972) (“Phenomena of nature, though just discovered, mental processes, and abstract intellectual concepts are not patentable, as they are the basic tools of scientific and technological work.”). Notwithstanding that a law of nature or an abstract idea, by itself, is not patentable, an application of these concepts may be deserving of patent protection; See Mayo Collaborative Servs. v. Prometheus Labs., Inc., 132 S. Ct. 1289, 1293–94 (2012). In Mayo, the Court stated that “to transform an unpatentable law of nature into a patent-eligible application of such a law, one must do more than simply state the law of nature while adding the words ‘apply it.’” Mayo, 132 S. Ct. at 1294 (citation omitted). In Alice, the Court reaffirmed the framework set forth previously in Mayo “for distinguishing patents that claim laws of nature, natural phenomena, and abstract ideas from those that claim patent-eligible applications of these concepts.” Alice, 134 S. Ct. at 2355. The test for determining subject matter eligibility requires a first step of determining whether the claims are directed to a process, machine, manufacture, or composition of matter. If the claims are directed to one of the four patent-eligible subject matter categories, then the Examiner must perform a two-part analysis to determine whether a claim that is directed to a judicial exception recites additional elements that amount to significantly more than the exception. The first part of the second step in the analysis is to “determine whether the claims at issue are directed to one of those patent-ineligible concepts.” Id. If the claims are directed to a patent-ineligible concept, then the second part of the second step in the analysis is to consider the elements of the claims “individually and ‘as an ordered combination”’ to determine whether there are additional elements that “‘transform the nature of the claim’ into a patent-eligible application.” Id. (quoting Mayo, 132 S. Ct. at 1298, 1297). In other words, the second step in the analysis is to “search for an ‘inventive concept’‒ i.e., an element or combination of elements that is ‘sufficient to ensure that the patent in practice amounts to significantly more than a patent on the [ineligible concept] itself.’” Id. (brackets in original) (quoting Mayo, 132 S. Ct. at 1294). The prohibition against patenting an abstract idea “cannot be circumvented by attempting to limit the use of the formula to a particular technological environment or adding insignificant post-solution activity.” Bilski v. Kappos, 561 U.S. 593, 610–11 (2010) (citation and internal quotation marks omitted). The Court in Alice noted that “[s]imply appending conventional steps, specified at a high level of generality,” was not “enough” [in Mayo] to supply an “‘inventive concept.’” Alice, 134 S. Ct. at 2357 (quoting Mayo, 132 S. Ct. at 1300, 1297, 1294). In the “2019 Revised Patent Subject Matter Eligibility Guidance” (2019 PEG), the USPTO has prepared revised guidance for use by USPTO personnel in evaluating subject matter eligibility based upon rulings by the courts. The Examiner is bound by and applies the framework as set forth by the Court in Mayo and reaffirmed by the Court in Alice and follows the 2019 PEG for determining whether the claims are directed to patent-eligible subject matter. Step 1: Are the claims at issue directed to a process, machine, manufacture, or composition of matter? The Examiner finds that claims 1-9 are directed to one of the four statutory categories. Step 2A – Prong One: Does the claim recite an abstract idea, law of nature, or natural phenomenon? The Examiner finds that the claims are directed to the abstract idea of “computing (P1) a polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]…”, “determining (S13) from said multiplication result said polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]”, and “performing (S21) said cryptographic algorithm using said determined polynomial result”, which are directed to the abstract idea of mental processes, mathematical concept, and certain methods of organizing human activity — managing interactions/relationships, policies, and compliance. Step 2A – Prong Two: Does the claim recite additional elements that integrate the Judicial Exception into a practical application? The abstract idea is not integrated into a practical application because the generically recited computer elements do not add a meaningful limitation to the abstract idea because they amount to simply implementing the abstract idea on a computer. In determining whether the abstract idea was integrated into a practical application, the Examiner has considered whether there were any limitations indicative of integration into a practical application, such as: (1) Improvements to the functioning of a computer, or to any other technology or technical field; See MPEP § 2106.05(a) (2) Applying or using a judicial exception to affect a particular treatment or prophylaxis for a disease or medical condition; See Vanda Memo (Recent Subject Matter Eligibility Decision: Vanda Pharmaceuticals Inc. v. West-Ward Pharmaceuticals) (3) Applying the judicial exception with, or by use of, a particular machine; See MPEP § 2106.05(b) (4) Effecting a transformation or reduction of a particular article to a different state or thing; See MPEP § 2106.05(c) (5) Applying or using the judicial exception in some other meaningful way beyond generally linking the use of the judicial exception to a particular technological environment, such that the claim as a whole is more than a drafting effort designed to monopolize the exception; See MPEP § 2106.05(e) and Vanda Memo The Examiner notes that claim features of: “computing (P1) a polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]…”, “determining (S13) from said multiplication result said polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]”, and “performing (S21) said cryptographic algorithm using said determined polynomial result” does not improve the functioning of a computer or technical field, do not effect a particular treatment or prophylaxis for a disease or medical condition, do not apply or use a particular machine, do not effect a transformation or reduction of a particular article to a different state or thing, and do not apply or use the judicial exception in some other meaningful way beyond generally linking the use of the judicial exception to a particular technological environment, such that the claim as a whole is more than a drafting effort designed to monopolize the exception. Instead, the claim features of “computing (P1) a polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]…”, “determining (S13) from said multiplication result said polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]”, and “performing (S21) said cryptographic algorithm using said determined polynomial result” merely use a general-purpose computer as a tool to perform the abstract idea (See MPEP § 2106.05(f)) and merely generally link the use of the abstract idea to a field of use (See MPEP § 2106.05(h)). Thus, the Examiner finds that the claimed invention does not recite additional elements that integrate the Judicial Exception into a practical application. Step 2B: Is there something else in the claims that ensures that they are directed to significantly more than a patent-ineligible concept? The claims, as a whole, require nothing significantly more than generic computer implementation or can be performed entirely by a human. The additional element(s) or combination of element(s) in the claims other than the abstract idea per se amount to no more than recitation of generic computer structure (e.g., a computer) that serves to perform generic computer functions (e.g., determining, and computing) that are well-understood, routine, and conventional activities previously known to the pertinent industry. The claimed “determining polynomial or multiplication result”, “computing integer multiplier” are all numbers, data structures, or datum. Each of these elements are individually dispositive of patent eligibility because of the following legal holdings: “Data in its ethereal, non-physical form is simply information that does not fall under any of the categories of eligible subject matter under section 101.” Digitech Image Techs., LLC v. Electronics for Imaging, Inc., 758 F.3d 1344, 1350 (Fed. Cir. 2014). Furthermore, the claimed invention does not have a specific asserted improvement in computer capabilities, nor is it a specific implementation of a solution to a problem in the software arts; See Enfish, LLC v. Microsoft Corp., 822 F.3d 1327 (Fed. Cir. 2016). Rather, the claims are merely directed towards the abstract idea of “computing (P1) a polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]…”, “determining (S13) from said multiplication result said polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]”, and “performing (S21) said cryptographic algorithm using said determined polynomial result”, which is similar to ideas that the courts have found to be abstract, as noted supra, and the claims are without a “practical application” or anything “significantly more”. Considering each of the claim elements in turn, the function performed by the computer system at each step of the process does no more than require a generic computer to perform a well-understood, routine, and conventional activity at a high level of generality. For example, “computing (P1) a polynomial result of a polynomial multiplication between said first input polynomial A[X] and said second input polynomial B[X]…” which is to be a well-understood, routine, conventional activity in computers; See e.g. Symantec, 838 F.3d at 1321, 120 USPQ2d at 1362 (utilizing an intermediary computer to forward information); TLI Communications LLC v. AV Auto. LLC, 823 F.3d 607, 610, 118 USPQ2d 1744, 1745 (Fed. Cir. 2016) (using a telephone for image transmission); OIP Techs., Inc., v. Amazon.com, Inc., 788 F.3d 1359, 1363, 115 USPQ2d 1090, 1093 (Fed. Cir. 2015) (sending messages over a network); buySAFE, Inc. v. Google, Inc., 765 F.3d 1350, 1355, 112 USPQ2d 1093, 1096 (Fed. Cir. 2014) (computer receives and sends information over a network). Similarly, “determining a role…is merely determine part of information, which has been found by the courts to be a well-understood, routine, conventional activity in computers; See e.g. Versata Dev. Group, Inc. v. SAP Am., Inc., 793 F.3d 1306, 1334, 115 USPQ2d 1681, 1701 (Fed. Cir. 2015); OIP Techs., 788 F.3d at 1363, 115 USPQ2d at 1092-93. The prohibition against patenting an abstract idea “cannot be circumvented by attempting to limit the use of the formula to a particular technological environment or adding insignificant post-solution activity.” Bilski v. Kappos, 561 U.S. 593, 610–11 (2010) (citation and internal quotation marks omitted). The Court in Alice noted that “[s]imply appending conventional steps, specified at a high level of generality,” was not “enough” [in Mayo] to supply an “‘inventive concept.’” Alice, 134 S. Ct. at 2357 (quoting Mayo, 132 S. Ct. at 1300, 1297, 1294). Viewed as a whole, the claims simply recite the steps of using generic computer components. The claims do not purport, for example, to improve the functioning of the computer system itself. Nor does it affect an improvement in any other technology or technical field. Instead, the claims amount to nothing significantly more than an instruction to implement the abstract idea using generic computer components. This is insufficient to transform an abstract idea into a patent-eligible invention. Conclusion 3. Any inquiry concerning this communication or earlier communications from the examiner should be directed to MOHAMMAD W REZA whose telephone number is (571)272-6590. The examiner can normally be reached on Monday-Friday 8:30-5:30 ET. If attempts to reach the examiner by telephone are unsuccessful, the examiner’s supervisor, Cathy Thiaw can be reached on 571-270-1138. The fax phone number for the organization where this application or proceeding is assigned is 571-273-8300. Information regarding the status of an application may be obtained from the Patent Application Information Retrieval (PAIR) system. Status information for published applications may be obtained from either Private PAIR or Public PAIR. Status information for unpublished applications is available through Private PAIR only. For more information about the PAIR system, see http://pair-direct.uspto.gov. Should you have questions on access to the Private PAIR system, contact the Electronic Business Center (EBC) at 866-217-9197 (toll-free). /MOHAMMAD W REZA/Primary Examiner, Art Unit 2407
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Prosecution Timeline

Oct 07, 2024
Application Filed
Feb 07, 2026
Non-Final Rejection — §101 (current)

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Prosecution Projections

1-2
Expected OA Rounds
88%
Grant Probability
98%
With Interview (+10.9%)
2y 11m
Median Time to Grant
Low
PTA Risk
Based on 943 resolved cases by this examiner. Grant probability derived from career allow rate.

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