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Two-weight codes and second order recurrences
September 14, 2017 Β· Declared Dead Β· π Chinese journal of electronics
"No code URL or promise found in abstract"
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Authors
Minjia Shi, Zhongyi Zhang, Patrick Sole
arXiv ID
1709.04585
Category
cs.IT: Information Theory
Citations
9
Venue
Chinese journal of electronics
Last Checked
4 months ago
Abstract
Cyclic codes of dimension $2$ over a finite field are shown to have at most two nonzero weights. This extends a construction of Rao et al (2010) and disproves a conjecture of Schmidt-White (2002). We compute their weight distribution, and give a condition on the roots of their check polynomials for them to be MDS.
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