Connection of $ p $-ary $ t $-weight linear codes to Ramanujan Cayley graphs with $ t+1 $ eigenvalues

Jong Yoon Hyun; Yoonjin Lee; Yansheng Wu

doi:10.3934/amc.2020133

Connection of $ p $-ary $ t $-weight linear codes to Ramanujan Cayley graphs with $ t+1 $ eigenvalues

Advances in Mathematics of Communications ◽

10.3934/amc.2020133 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Jong Yoon Hyun ◽

Yoonjin Lee ◽

Yansheng Wu

Keyword(s):

Linear Codes ◽

Cayley Graphs

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MacWilliams Type Identity for M-Spotty Rosenbloom-Tsfasman Weight Enumerator of Linear Codes over Finite Ring

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e96.a.1496 ◽

2013 ◽

Vol E96.A (6) ◽

pp. 1496-1500

Author(s):

Jianzhang CHEN ◽

Wenguang LONG ◽

Bo FU

Keyword(s):

Linear Codes ◽

Finite Ring ◽

Weight Enumerator ◽

Type Identity

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Granular Gain of Low-Dimensional Lattices from Binary Linear Codes

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e95.a.2168 ◽

2012 ◽

Vol E95.A (12) ◽

pp. 2168-2170

Author(s):

Misako KOTANI ◽

Shingo KAWAMOTO ◽

Motohiko ISAKA

Keyword(s):

Linear Codes ◽

Binary Linear Codes ◽

Low Dimensional

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A ROUTING ALGORITHM FOR THE CAYLEY GRAPHS GENERATED BY PERMUTATION GROUPS

Siberian Journal of Science and Technology ◽

10.31772/2587-6066-2020-21-2-187-194 ◽

2020 ◽

Vol 21 (2) ◽

pp. 187-194

Author(s):

А. A. Kuznetsov ◽

◽

V. V. Kishkan ◽

Keyword(s):

Cayley Graphs ◽

Routing Algorithm ◽

Permutation Groups

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Integral Cayley Graphs Over a Direct Sum of Cyclic Groups of Order 2 and 2p

10.31979/etd.vgac-a6gn ◽

2011 ◽

Author(s):

Usha Ganesh Watson

Keyword(s):

Cayley Graphs ◽

Cyclic Groups ◽

Direct Sum

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ON R-LINEAR CODES AND ITS COVERING RADIUS OF SOME CLASSES OF LINEAR CODES IN R

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.3.42 ◽

2020 ◽

Vol 9 (3) ◽

pp. 1159-1176

Author(s):

P. Chella Pandian ◽

J. Mahalakshmi

Keyword(s):

Linear Codes ◽

Covering Radius

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Two-Weight Linear Codes and Their Applications in Secret Sharing

Chinese Journal of Electronics ◽

10.1049/cje.2019.04.006 ◽

2019 ◽

Vol 28 (4) ◽

pp. 706-711

Author(s):

Yaru Wang ◽

Fulin Li ◽

Shixin Zhu

Keyword(s):

Secret Sharing ◽

Linear Codes

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Full Characterization of Minimal Linear Codes as Cutting Blocking Sets

IEEE Transactions on Information Theory ◽

10.1109/tit.2021.3070377 ◽

2021 ◽

pp. 1-1

Author(s):

Chunming Tang ◽

Yan Qiu ◽

Qunying Liao ◽

Zhengchun Zhou

Keyword(s):

Linear Codes ◽

Blocking Sets ◽

Full Characterization

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On the inducibility problem for random Cayley graphs of abelian groups with a few deleted vertices

Random Structures and Algorithms ◽

10.1002/rsa.21010 ◽

2021 ◽

Author(s):

Jacob Fox ◽

Lisa Sauermann ◽

Fan Wei

Keyword(s):

Abelian Groups ◽

Cayley Graphs

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Independent perfect dominating sets in semi-Cayley graphs

Theoretical Computer Science ◽

10.1016/j.tcs.2021.02.006 ◽

2021 ◽

Author(s):

Xiaomeng Wang ◽

Shou-Jun Xu ◽

Xianyue Li

Keyword(s):

Cayley Graphs ◽

Dominating Sets

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On homogeneous arcs and linear codes over finite chain rings

Applicable Algebra in Engineering Communication and Computing ◽

10.1007/s00200-021-00501-y ◽

2021 ◽

Author(s):

Thomas Honold ◽

Ivan Landjev

Keyword(s):

Linear Codes ◽

Finite Chain ◽

Finite Chain Rings

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