Using multi-orbit cyclic subspace codes for constructing optical orthogonal codes

被引:0
|
作者
Ozbudak, Ferruh [1 ]
Santonastaso, Paolo [2 ]
Zullo, Ferdinando [2 ]
机构
[1] Sabanci Univ, FENS, Istanbul, Turkiye
[2] Univ Campania Luigi Vanvitelli, Dipartimento Matemat & Fis, Caserta, Italy
来源
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2025年
关键词
Optical orthogonal code; Cyclic subspace code; Linearized polynomial; ACCESS TECHNIQUES; FIBER NETWORKS; OPTIMAL OOCS; FAMILIES; ARCS;
D O I
10.1007/s12095-025-00777-8
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We present a new application of multi-orbit cyclic subspace codes to construct large optical orthogonal codes, with the aid of the multiplicative structure of finite fields extensions. This approach is different from earlier approaches using combinatorial and additive (character sum) structures of finite fields. Consequently, we immediately obtain new classes of optical orthogonal codes with different parameters.
引用
收藏
页数:14
相关论文
共 50 条
  • [21] A new construction of cyclic subspace codes
    Han, Yuqing
    Cao, Xiwang
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2024, : 1527 - 1537
  • [22] A characterization of cyclic subspace codes via subspace polynomials
    Zhao, Wei
    Tang, Xilin
    FINITE FIELDS AND THEIR APPLICATIONS, 2019, 57 : 1 - 12
  • [23] A clique-based online algorithm for constructing optical orthogonal codes
    Zhang, Yuan
    Peng, Mao
    Yang, Shengxiang
    APPLIED SOFT COMPUTING, 2016, 47 : 21 - 32
  • [24] Geometric Orthogonal Codes of Size Larger Than Optical Orthogonal Codes
    Chee, Yeow Meng
    Kiah, Han Mao
    Ling, San
    Wei, Hengjia
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2018, 64 (04) : 2883 - 2895
  • [25] On (θ,Θ)-cyclic codes and their applications in constructing QECCs
    Shukla, Awadhesh Kumar
    Pathak, Sachin
    Pandey, Om Prakash
    Mishra, Vipul
    Upadhyay, Ashish Kumar
    QUANTUM INFORMATION PROCESSING, 2025, 24 (03)
  • [26] CYCLIC ORBIT CODES AND STABILIZER SUBFIELDS
    Gluesing-Luerssen, Heide
    Morrison, Katherine
    Troha, Carolyn
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2015, 9 (02) : 177 - 197
  • [27] Distance Distributions of Cyclic Orbit Codes
    Gluesing-Luerssen, Heide
    Lehmann, Hunter
    DESIGNS CODES AND CRYPTOGRAPHY, 2021, 89 (03) : 447 - 470
  • [28] Distance Distributions of Cyclic Orbit Codes
    Heide Gluesing-Luerssen
    Hunter Lehmann
    Designs, Codes and Cryptography, 2021, 89 : 447 - 470
  • [29] ORTHOGONAL TRANSFORM ENCODING OF CYCLIC CODES
    FUMY, W
    LECTURE NOTES IN COMPUTER SCIENCE, 1986, 229 : 131 - 134
  • [30] SYNTHESIS OF ORTHOGONAL NONLINEAR CYCLIC CODES
    BESSALOV, AV
    GEPKO, IA
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOELEKTRONIKA, 1993, 36 (7-8): : 14 - 20