20 citations · 92 across the 14 of their papers we have counts for
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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…
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…
Explicit Formulas for the Weight Enumerators of Some Classes of Deletion Correcting Codes
Khodakhast Bibak, Olgica Milenkovic
We introduce a general class of codes which includes several well-known classes of deletion/insertion correcting codes as special cases. For example, the Helberg code, the Levensht…