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Pregled bibliografske jedinice broj: 1267479

Self-dual bent sequences for complex Hadamard matrices


Shi, Minjia; Li, Yaya; Cheng, Wei; Crnković, Dean; Krotov, Denis, Solé, Patrick
Self-dual bent sequences for complex Hadamard matrices // Designs, codes and cryptography, 91 (2023), 1453-1474 doi:10.1007/s10623-022-01157-6 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1267479 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Self-dual bent sequences for complex Hadamard matrices

Autori
Shi, Minjia ; Li, Yaya ; Cheng, Wei ; Crnković, Dean ; Krotov, Denis, Solé, Patrick

Izvornik
Designs, codes and cryptography (0925-1022) 91 (2023); 1453-1474

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Bent sequences ; Complex Hadamard matrices ; Regular complex Hadamard matrices ; Bush-type complex Hadamard matrices ; Mixed-skew Hadamard matrices

Sažetak
A new notion of bent sequence related to Hadamard matrices was introduced recently, motivated by a security application (Solé et al. 2021). In this paper we introduce the analogous notion for complex Hadamard matrices, and we study the self-dual class in length at most 90.We use three competing methods of generation: Brute force, Linear Algebra and Groebner bases. Regular complex Hadamard matrices and Bush-type complex Hadamard matrices providemany examples.We introduce the strong automorphism group of complexHadamard matrices, which acts on their associated self-dual bent sequences. We give an efficient algorithm to compute that group.We also answer the questionwhich complexHadamardmatrices can be uniquely reconstructed from the off-diagonal elements, define a related concept of mixed-skew Hadamard matrix, and show the existence of mixed-skew Hadamard matrices of small orders.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-51 - Kodovi, grupe i kombinatoričke strukture (Crnković, Dean, NadSve ) ( CroRIS)

Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Avatar Url Dean Crnković (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Shi, Minjia; Li, Yaya; Cheng, Wei; Crnković, Dean; Krotov, Denis, Solé, Patrick
Self-dual bent sequences for complex Hadamard matrices // Designs, codes and cryptography, 91 (2023), 1453-1474 doi:10.1007/s10623-022-01157-6 (međunarodna recenzija, članak, znanstveni)
Shi, M., Li, Y., Cheng, W., Crnković, D. & Krotov, Denis, Solé, Patrick (2023) Self-dual bent sequences for complex Hadamard matrices. Designs, codes and cryptography, 91, 1453-1474 doi:10.1007/s10623-022-01157-6.
@article{article, author = {Shi, Minjia and Li, Yaya and Cheng, Wei and Crnkovi\'{c}, Dean}, year = {2023}, pages = {1453-1474}, DOI = {10.1007/s10623-022-01157-6}, keywords = {Bent sequences, Complex Hadamard matrices, Regular complex Hadamard matrices, Bush-type complex Hadamard matrices, Mixed-skew Hadamard matrices}, journal = {Designs, codes and cryptography}, doi = {10.1007/s10623-022-01157-6}, volume = {91}, issn = {0925-1022}, title = {Self-dual bent sequences for complex Hadamard matrices}, keyword = {Bent sequences, Complex Hadamard matrices, Regular complex Hadamard matrices, Bush-type complex Hadamard matrices, Mixed-skew Hadamard matrices} }
@article{article, author = {Shi, Minjia and Li, Yaya and Cheng, Wei and Crnkovi\'{c}, Dean}, year = {2023}, pages = {1453-1474}, DOI = {10.1007/s10623-022-01157-6}, keywords = {Bent sequences, Complex Hadamard matrices, Regular complex Hadamard matrices, Bush-type complex Hadamard matrices, Mixed-skew Hadamard matrices}, journal = {Designs, codes and cryptography}, doi = {10.1007/s10623-022-01157-6}, volume = {91}, issn = {0925-1022}, title = {Self-dual bent sequences for complex Hadamard matrices}, keyword = {Bent sequences, Complex Hadamard matrices, Regular complex Hadamard matrices, Bush-type complex Hadamard matrices, Mixed-skew Hadamard matrices} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati:





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