The generalization of some trellis properties of linear codes to group codes

2009 ◽  
Vol 52 (5) ◽  
pp. 797-803
Author(s):  
HaiBin Kan ◽  
XueFei Li ◽  
Hong Shen
Keyword(s):  
Linear Codes ◽  
Group Codes

scholarly journals On Group Codes Over Elementary Abelian Groups

2003 ◽  
Vol 8 (2) ◽  
pp. 145
Author(s):  
Adnan A. Zain
Keyword(s):  
Abelian Group ◽  
Finite Fields ◽  
Linear Codes ◽  
Abelian Groups ◽  
Parity Check ◽  
Group Codes ◽  
New Codes ◽  
Generator Matrices

For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group. We also lift the theorem that relates the parity check and the generator matrices of linear codes over finite fields to group codes over elementary Abelian groups. Some new codes that are MDS, self-dual, and cyclic over the Abelian group with four elements are given.

Two-Weight Linear Codes and Their Applications in Secret Sharing

2019 ◽  
Vol 28 (4) ◽  
pp. 706-711
Author(s):  
Yaru Wang ◽  
Fulin Li ◽  
Shixin Zhu
Keyword(s):  
Secret Sharing ◽  
Linear Codes

scholarly journals Full Characterization of Minimal Linear Codes as Cutting Blocking Sets

2021 ◽  
pp. 1-1
Author(s):  
Chunming Tang ◽  
Yan Qiu ◽  
Qunying Liao ◽  
Zhengchun Zhou
Keyword(s):  
Linear Codes ◽  
Blocking Sets ◽  
Full Characterization

scholarly journals Shortened Linear Codes over Finite Fields

2021 ◽  
pp. 1-1
Author(s):  
Yang Liu ◽  
Cunsheng Ding ◽  
Chunming Tang
Keyword(s):  
Finite Fields ◽  
Linear Codes

Modal Θ-valent linear codes with complementary modal Θ-valent duals

2021 ◽  
pp. 1-37
Author(s):  
Jean Armand Tsimi ◽  
Rose Christelle Youdom ◽  
Benjamin Boakye
Keyword(s):  
Linear Codes
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