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cs.IT2020
Unweighted linear congruences with distinct coordinates and the Varshamov--Tenengolts codes
Khodakhast Bibak, Bruce M. Kapron, Venkatesh Srinivasan
In this paper, we first give explicit formulas for the number of solutions of unweighted linear congruences with distinct coordinates. Our main tools are properties of Ramanujan su…
cs.IT2020
The Cayley graphs associated with some quasi-perfect Lee codes are Ramanujan graphs
Khodakhast Bibak, Bruce M. Kapron, Venkatesh Srinivasan
Let be the ring of Gaussian integers modulo a positive integer . Very recently, Camarero and Martínez [IEEE Trans. Inform. Theory, {\bf 62} (2016), 1183--1192], showed…