TY - JOUR
T1 - The enumeration and generalizations for relative one-weight codes
AU - Liu, Tianrun
AU - Liu, Zihui
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.
PY - 2025/12
Y1 - 2025/12
N2 - We present the security properties of relative one-weight codes when applied to the wire-tap channel, and give the enumeration of equivalent classes of relative one-weight codes. Also, based on the security properties, we define and construct a new class of codes with similar applications as relative one-weight codes, and determine the key parameters of this new class of codes.
AB - We present the security properties of relative one-weight codes when applied to the wire-tap channel, and give the enumeration of equivalent classes of relative one-weight codes. Also, based on the security properties, we define and construct a new class of codes with similar applications as relative one-weight codes, and determine the key parameters of this new class of codes.
KW - Relative generalized Hamming weight
KW - Relative one-weight code
KW - Relative subcode
KW - Value assignment
UR - https://www.scopus.com/pages/publications/105013867140
U2 - 10.1007/s10623-025-01720-x
DO - 10.1007/s10623-025-01720-x
M3 - Article
AN - SCOPUS:105013867140
SN - 0925-1022
VL - 93
SP - 5115
EP - 5129
JO - Designs, Codes, and Cryptography
JF - Designs, Codes, and Cryptography
IS - 12
ER -