Cyclic codes aspects of bent functions

2010 ◽  
pp. 363-384 ◽  
Author(s):  
J. Wolfmann
Keyword(s):  
Cyclic Codes ◽  
Bent Functions

scholarly journals Hyper-bent functions and cyclic codes

2006 ◽  
Vol 113 (3) ◽  
pp. 466-482 ◽  
Author(s):  
Claude Carlet ◽  
Philippe Gaborit
Keyword(s):  
Cyclic Codes ◽  
Bent Functions

A Large Class of p-Ary Cyclic Codes and Sequence Families

2010 ◽  
Vol E93-A (11) ◽  
pp. 2272-2277
Author(s):  
Zhengchun ZHOU ◽  
Xiaohu TANG ◽  
Udaya PARAMPALLI
Keyword(s):  
Large Class ◽  
Cyclic Codes

A Family of q-Ary Cyclic Codes with Optimal Parameters

2020 ◽  
Vol E103.A (3) ◽  
pp. 631-633
Author(s):  
Wenhua ZHANG ◽  
Shidong ZHANG ◽  
Yong WANG ◽  
Jianpeng WANG
Keyword(s):  
Cyclic Codes ◽  
Optimal Parameters

A class of constacyclic codes over the ring Z4[u,v]/ and their Gray images

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2237-2248 ◽  
Author(s):  
Habibul Islam ◽  
Om Prakash
Keyword(s):  
Cyclic Codes ◽  
Constacyclic Codes ◽  
Gray Maps ◽  
Permutation Equivalent ◽  
Quasi Cyclic Codes

In this paper, we study (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes over the ring Z4 + uZ4 + vZ4 + uvZ4 where u2 = v2 = 0,uv = vu. We define some new Gray maps and show that the Gray images of (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z4. Further, we determine the structure of (1 + 2u + 2v)-constacyclic codes of odd length n.

Further study on constructing bent functions outside the completed Maiorana–McFarland class

2020 ◽  
Vol 14 (6) ◽  
pp. 654-660
Author(s):  
Shishi Liu ◽  
Fengrong Zhang ◽  
Enes Pasalic ◽  
Shixiong Xia ◽  
Zepeng Zhuo
Keyword(s):  
Bent Functions
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