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cs.IT2026
Double circulant LCD codes over and constructions for binary LCD codes
Xingxing Xu, Minjia Shi, Jon-Lark Kim
Linear complementary dual (LCD) codes are linear codes that intersect their dual trivially. We study double circulant (Euclidean) LCD codes over the finite chain ring $R=\mathbb F_…
cs.IT2026
New bounds for codes over Gaussian integers based on the Mannheim distance
Minjia Shi, Xuan Wang, Junmin An +1
We study linear codes over Gaussian integers equipped with the Mannheim distance. We develop Mannheim-metric analogues of several classical bounds. We derive an explicit formula fo…
math.NT2026
Second order Recurrences, quadratic number fields and cyclic codes
Minjia Shi, Xuan Wang, Bouazzaoui Zakariae +2
Wall-Sun-Sun primes (shortly WSS primes) are defined as those primes such that the period of the Fibonacci recurrence is the same modulo and modulo This concept has…