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cs.IT2026
-Minimal Poset Codes
Jianhua Zheng, Yang Xu, Haibin Kan +2
In this paper, we propose and study -minimal codes with respect to -support, where is a poset defined on the coordinate se…
cs.IT2026
Generalized Rank Weight and Extended Generalized Poset Weight Defined For Codes Over Rings: A Galois Connection Approach
Jianhua Zheng, Yang Xu, Haibin Kan +2
In this paper, we study generalized rank weights (GRWs) and extended generalized poset weight (EGPWs) of codes over rings via a Galois connection approach. First, we show that vari…
cs.IT2026
List-Decoding Counterexamples Yield Lower Bounds on Mutual Correlated Agreement Error
Yiwen Gao, Hong Yang, Yang Xu +1
Mutual correlated agreement captures whether a random linear combination of received words can create a new large agreement with a code, a property relevant to the soundness of bat…