On two-weight $$\mathbb {Z}_{2^k}$$ Z 2 k -codes-Reference-Cited by-同舟云学术

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On two-weight $$\mathbb {Z}_{2^k}$$ Z 2 k -codes

Published:2017-07-18 Issue:6 Volume:86 Page:1201-1209
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Shi Minjia,Sepasdar Zahra,Alahmadi Adel,Solé Patrick

Funder

National Natural Science Foundation of China

the Open Research Fund of National Mobile Communications Research Laboratory, Southeast University

Technology Foundation for Selected Overseas Chinese Scholar, Ministry of Personnel of China

Key projects of support program for outstanding young talents in Colleges and Universities

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

http://link.springer.com/article/10.1007/s10623-017-0390-0/fulltext.html

Reference16 articles.

1. Brouwer A.E., Haemers W.H.: Spectra of Graphs. Springer, New York (2011).

2. Byrne E., Greferath M., Honold T.: Ring geometries, two-weight codes and strongly regular graphs. Des. Codes Cryptogr. 48, 1–16 (2008).

3. Byrne E., Kiermaier M., Sneyd A.: Properties of codes with two homogeneous weights. Finite Fields Appl. 18, 711–727 (2012).

4. Calderbank R.: On uniformly packed $$[n,n-k,4]$$ [ n , n - k , 4 ] codes over $$GF(q)$$ G F ( q ) and a class of caps in $$PG(k-1,q)$$ P G ( k - 1 , q ) . J. Lond. Math. Soc. (2) 26, 365–384 (1982).

5. Carlet C.: $${\mathbb{Z}}_{2^k}$$ Z 2 k -linear codes. IEEE Trans. Inf. Theory 44, 1543–1547 (1998).

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