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math.PR2026
Comment on "Symmetric Pseudo-Random Matrices"
Chin Hei Chan
In 2018, Soloveychik, Xiang and Tarokh considered a pseudo-random symmetric circulant matrix constructed from binary Golomb sequences of length , and claimed a proof that…
cs.IT2026
Decoding Error Probability of the Random Code Ensemble over the Erasure Channel
Chin Hei Chan
In this paper, we provide explicit formulas for the average decoding error probabilities of the ensemble of all codes over the erasure channel under unambiguous, list and…
math.PR2026
On the Group Randomness of 0-1 Real Sequences from Binary Linear Codes
Chin Hei Chan
In this paper, we study the group randomness of 0-1 real sequences derived from a binary linear code by investigating the spectral behaviour of a suitable normalization of the Gram…