The Secret of Ramsey Numbers: A new order forms out of randomness.

Συγγραφείς: Edwards, Chris¹ (AUTHOR) chris@chrised.com

Πηγή: Communications of the ACM. Jan2025, Vol. 68 Issue 1, p11-13. 3p.

Θεματικοί όροι: RAMSEY theory, ALGEBRAIC coding theory, POSTDOCTORAL researchers

People: MATTHEUS, Sam, VERSTRAETE, Jacques

New MDS and self-dual generalized Roth-Lample codes as well as their deep holes.

Συγγραφείς: Li, Fengwei, Jiang, Ruiyuan, Liu, Yuting

Πηγή: Designs, Codes & Cryptography; Nov2025, Vol. 93 Issue 11, p5079-5096, 18p

Θεματικοί όροι: PARITY-check matrix, ALGEBRAIC coding theory, REED-Solomon codes, CODING theory, ERROR-correcting codes

On vectorial functions mapping strict affine subspaces of their domain into strict affine subspaces of their co-domain, and the strong D-property

Συγγραφείς: Carlet, Claude, Piccione, Enrico

Πηγή: Advances in Mathematics of Communications. 19:793-828

Θεματικοί όροι: affine spaces, APN, cryptography, vectorial Boolean function, permutations, Algebraic coding theory, cryptography (number-theoretic aspects), Boolean functions

Περιγραφή αρχείου: application/xml

A proposed public-key cryptosystem constructed using Paley graphs

Συγγραφείς: Zhour, Oumazouz

Πηγή: International Journal of Mathematics and Computer Science. :465-468

Θεματικοί όροι: decryption algorithm, cryptographic systems, sequence of local complementations, Cryptography, Algebraic coding theory, cryptography (number-theoretic aspects), Paley graphs, encryption algorithm, quadratic residues

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7968952
https://doi.org/10.69793/ijmcs/02.2025/zhour

Generalized low rank parity check codes

Συγγραφείς: Franch, Ermes, Gaborit, Philippe, Li, Chunlei

Πηγή: 2023 IEEE Information Theory Workshop (ITW) Information Theory Workshop (ITW), 2023 IEEE. :248-253 Apr, 2023

Relation: 2023 IEEE Information Theory Workshop (ITW)

Meet-in-the-middle attack on round-reduced SCARF under single pair-of-tweaks setting

Συγγραφείς: Chen, Siwei^{Aff1, Aff5, IDs1062302501596x_cor1}, Hu, Kai^{Aff2, Aff6, IDs1062302501596x_cor2}, Liu, Guozhen^{Aff3, IDs1062302501596x_cor3}, Niu, Zhongfeng^{Aff3, IDs1062302501596x_cor4}, Tan, Quan Quan^{Aff4, IDs1062302501596x_cor5}, Wang, Shichang^{Aff4, IDs1062302501596x_cor6}

Πηγή: Designs, Codes and Cryptography: An International Journal. 93(5):1531-1547

A characterization of finite commutative Frobenius rings and applications to algebraic coding theory.

Συγγραφείς: Dougherty, Steven T.

Πηγή: Advances in Mathematics of Communications; Feb2026, Vol. 20 Issue 1, p1-5, 5p

Θεματικοί όροι: ALGEBRAIC coding theory, RING theory, ALGORITHMS, IDEALS (Algebra), HYPOTHESIS, FINITE rings

New NMDS self-dual codes over finite fields.

Συγγραφείς: Lebed, Khawla, Zheng, Dabin, Liu, Hongwei

Πηγή: Advances in Mathematics of Communications; Feb2026, Vol. 20 Issue 1, p1-9, 9p

Θεματικοί όροι: CODING theory, FINITE fields, PARAMETERIZATION, ALGEBRAIC coding theory

A Revision of CROSS Security: Proofs and Attacks for Multi-Round Fiat–Shamir Signatures

Συγγραφείς: Battagliola, Michele^{Aff1, IDs00009025028827_cor1}, Longo, Riccardo, Pintore, Federico, Signorini, Edoardo, Tognolini, Giovanni

Πηγή: Mediterranean Journal of Mathematics. 22(5)

Knot theory and error-correcting codes.

Συγγραφείς: Kılıç, Altan B., Nijsten, Anne, Pellikaan, Ruud, Ravagnani, Alberto

Πηγή: Designs, Codes & Cryptography; Aug2025, Vol. 93 Issue 8, p3029-3068, 40p

Θεματικοί όροι: KNOT theory, ERROR-correcting codes, MATHEMATICAL functions, ALGEBRAIC coding theory, CODING theory, DECODING algorithms

Well-rounded lattices from odd prime degree number fields in the ramified case.

Συγγραφείς: Bastos, Jefferson Luiz Rocha, de Araujo, Robson Ricardo, Neto, Trajano Pires da Nóbrega, de Andrade, Antonio Aparecido

Πηγή: Advances in Geometry; Jul2025, Vol. 25 Issue 3, p361-367, 7p

Θεματικοί όροι: RINGS of integers, PRIME numbers, CODING theory, CRYPTOGRAPHY, WIRETAPPING, ALGEBRAIC coding theory

On the Terwilliger Algebra of the Group Association Scheme of the Symmetric Group Sym(7).

Συγγραφείς: Herman, Allen, Maleki, Roghayeh, Razafimahatratra, Andriaherimanana Sarobidy

Πηγή: Journal of Combinatorial Designs; Jul2025, Vol. 33 Issue 7, p261-274, 14p

Θεματικοί όροι: CONJUGACY classes, SYMMETRY groups, ORDERED algebraic structures, REGULAR graphs, ALGEBRAIC coding theory

On constacyclic codes of length 9ps over pm and their optimal codes.

Συγγραφείς: Dinh, Hai Q.¹ (AUTHOR) hdinh@kent.edu, Ha, Hieu V.^2,3 (AUTHOR) hieuhv@uel.edu.vn, Nguyen, Nhan T. V.⁴ (AUTHOR) nhanntv@lsts.edu.vn, Tran, Nghia T. H.⁵ (AUTHOR) nghiatth@hcmue.edu.vn

Πηγή: Journal of Algebra & Its Applications. Jul2024, Vol. 23 Issue 8, p1-42. 42p.

Θεματικοί όροι: *HAMMING distance, *ALGEBRAIC coding theory, *PRIME numbers, *FINITE fields, *CYCLIC codes

The subfield metric and its application to quantum error correction.

Συγγραφείς: Grassl, Markus¹ (AUTHOR) markus.grassl@ug.edu.pl, Horlemann, Anna-Lena² (AUTHOR) anna-lena.horlemann@unisg.ch, Weger, Violetta³ (AUTHOR) violetta.weger@tum.de

Πηγή: Journal of Algebra & Its Applications. Jun2024, Vol. 23 Issue 7, p1-25. 25p.

Θεματικοί όροι: *ALGEBRAIC coding theory, *FINITE fields

On the Dimensions of Hermitian Subfield Subcodes from Higher-Degree Places.

Συγγραφείς: El Khalfaoui, Sabira¹ (AUTHOR) sabiraelkhalfaoui@gmail.com, Nagy, Gábor P.^2,3 (AUTHOR) nagyg@math.u-szeged.hu

Πηγή: Entropy. May2024, Vol. 26 Issue 5, p386. 22p.

Θεματικοί όροι: *CODING theory, *ALGEBRAIC coding theory, *FINITE fields, *ALGEBRAIC codes, *AUTOMORPHISMS

Asymptotically optimal aperiodic quasi-complementary sequence sets based on extended Boolean functions

Συγγραφείς: Shen, Bingsheng, Yu, Tao, Zhou, Zhengchun, Yang, Yang

Πηγή: Designs, Codes and Cryptography. 92:4213-4230

Θεματικοί όροι: Combinatorial codes, Shift register sequences and sequences over finite alphabets in information and communication theory, Cryptography, Algebraic coding theory, cryptography (number-theoretic aspects), multi-carrier code-division multiple-access, maximum aperiodic correlation magnitude, Boolean functions, extended Boolean function, quasi-complementary sequence set

Περιγραφή αρχείου: application/xml

The number of self-dual cyclic codes over finite fields

Συγγραφείς: Qiang Zhang

Πηγή: Journal of Applied Mathematics and Computing. 70:5795-5803

Θεματικοί όροι: exact power character of 2, Power residues, reciprocity, Algebraic coding theory, cryptography (number-theoretic aspects), finite fields, Cyclic codes, self-dual cyclic code

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8036683
https://doi.org/10.1007/s12190-024-02196-z

Investigation of the permutation and linear codes from the Welch APN function

Συγγραφείς: Helleseth, Tor, Li, Chunlei, Xia, Yongbo

Πηγή: Designs, Codes and Cryptography
937–959

Θεματικοί όροι: algebraic decoding, cyclic codes, Decoding, Algebraic coding theory, cryptography (number-theoretic aspects), differential spectrum, permutation, Walsh spectrum, linear codes, Linear codes (general theory), Polynomials over finite fields

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/8029651
https://doi.org/10.1007/s10623-024-01461-3
https://hdl.handle.net/11250/3192587

Asymptotic bounds on the numbers of certain bent functions

Συγγραφείς: Potapov, Vladimir N., Özbudak, Ferruh

Πηγή: Cryptography and Communications. 16:1289-1307

Θεματικοί όροι: bent function, Algebraic coding theory, cryptography (number-theoretic aspects), 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, Combinatorial aspects of block designs, generalized Maiorana-McFarland bent function, transversal, Cryptography, 0202 electrical engineering, electronic engineering, information engineering, Orthogonal arrays, Latin squares, Room squares, Boolean functions, subspace design

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7985183
https://doi.org/10.1007/s12095-024-00726-x

CRT representation of LWE Based TFHE: CRT representation of LWE based TFHE

Συγγραφείς: Mehmet Özen, Serra Sazoğlu, Ünal Çavuşoğlu, Abdullah Sevin

Πηγή: Computational and Applied Mathematics. 44

Θεματικοί όροι: homomorphic encryption, Algebraic coding theory, cryptography (number-theoretic aspects), Chinese remainder theorem (CRT), torus fully homomorphic encryption (TFHE)

Περιγραφή αρχείου: application/xml