Weight hierarchies of a family of linear codes associated with degenerate quadratic forms

Fei Li; Xiumei Li

doi:10.1016/j.disc.2021.112718

Weight hierarchies of a family of linear codes associated with degenerate quadratic forms

Discrete Mathematics ◽

10.1016/j.disc.2021.112718 ◽

2022 ◽

Vol 345 (3) ◽

pp. 112718

Author(s):

Fei Li ◽

Xiumei Li

Keyword(s):

Quadratic Forms ◽

Linear Codes ◽

Weight Hierarchies

Get full-text (via PubEx)

Weight Hierarchies of a Class of Linear Codes Related to Non-Degenerate Quadratic Forms

IEEE Transactions on Information Theory ◽

10.1109/tit.2020.3021730 ◽

2021 ◽

Vol 67 (1) ◽

pp. 124-129

Author(s):

Fei Li

Keyword(s):

Quadratic Forms ◽

Linear Codes ◽

Weight Hierarchies

Get full-text (via PubEx)

Weight hierarchies of linear codes satisfying the Near-Chain condition

Progress in Natural Science Materials International ◽

10.1080/10020070512331342920 ◽

2005 ◽

Vol 15 (9) ◽

pp. 784-792

Author(s):

Liu Zihui ◽

Chen Wende

Keyword(s):

Linear Codes ◽

Chain Condition ◽

Weight Hierarchies

Get full-text (via PubEx)

Complete weight enumerators of some linear codes from quadratic forms

Cryptography and Communications ◽

10.1007/s12095-016-0190-9 ◽

2016 ◽

Vol 9 (1) ◽

pp. 151-163 ◽

Cited By ~ 9

Author(s):

Dan Zhang ◽

Cuiling Fan ◽

Daiyuan Peng ◽

Xiaohu Tang

Keyword(s):

Quadratic Forms ◽

Linear Codes ◽

Weight Enumerators

Get full-text (via PubEx)

Bounds on the weight hierarchies of linear codes of dimension 4

IEEE Transactions on Information Theory ◽

10.1109/18.641575 ◽

1997 ◽

Vol 43 (6) ◽

pp. 2047-2054 ◽

Cited By ~ 8

Author(s):

W. Chen ◽

T. Klove

Keyword(s):

Linear Codes ◽

Weight Hierarchies

Get full-text (via PubEx)

Weight hierarchies of linear codes of dimension 3

Journal of Statistical Planning and Inference ◽

10.1016/s0378-3758(00)00250-0 ◽

2001 ◽

Vol 94 (2) ◽

pp. 167-179 ◽

Cited By ~ 7

Author(s):

Wende Chen ◽

Torleiv Kløve

Keyword(s):

Linear Codes ◽

Weight Hierarchies

Get full-text (via PubEx)

Weight Hierarchies of Binary Linear Codes of Dimension 4

Proceedings. IEEE International Symposium on Information Theory ◽

10.1109/isit.1993.748462 ◽

2005 ◽

Cited By ~ 1

Author(s):

T. Klove

Keyword(s):

Linear Codes ◽

Binary Linear Codes ◽

Weight Hierarchies

Get full-text (via PubEx)

Determination on a class of weight hierarchies of <italic>q</italic>-ary linear codes of dimension 5

Chinese Science Bulletin (Chinese Version) ◽

10.1360/972010-2009 ◽

2011 ◽

Vol 56 (25) ◽

pp. 2150-2155 ◽

Cited By ~ 1

Author(s):

LiJun WANG ◽

WenDe CHEN

Keyword(s):

Linear Codes ◽

Weight Hierarchies

Get full-text (via PubEx)

Linear codes from quadratic forms

Applicable Algebra in Engineering Communication and Computing ◽

10.1007/s00200-017-0319-x ◽

2017 ◽

Vol 28 (6) ◽

pp. 535-547 ◽

Cited By ~ 2

Author(s):

Xiaoni Du ◽

Yunqi Wan

Keyword(s):

Quadratic Forms ◽

Linear Codes

Get full-text (via PubEx)

Weight hierarchies of binary linear codes of dimension 4

Discrete Mathematics ◽

10.1016/s0012-365x(00)00411-8 ◽

2001 ◽

Vol 238 (1-3) ◽

pp. 27-34 ◽

Cited By ~ 3

Author(s):

Wende Chen ◽

Torleiv Kløve

Keyword(s):

Linear Codes ◽

Binary Linear Codes ◽

Weight Hierarchies

Get full-text (via PubEx)

Weight hierarchies of linear codes satisfying the almost chain condition

Proceedings IEEE International Symposium on Information Theory, ◽

10.1109/isit.2002.1023505 ◽

2003 ◽

Author(s):

Wende Chen ◽

T. Klove

Keyword(s):

Linear Codes ◽

Chain Condition ◽

Weight Hierarchies

Get full-text (via PubEx)