Reynout Vos

Resolving the Four Remaining Open k=6 CPCW Cases: Explicit Optimal Constructions for v = 122, 123, 124, and 126

We present explicit optimal binary cyclically permutable constant-weight codes for CPCW(122,6,1), CPCW(123,6,1), CPCW(124,6,1), and CPCW(126,6,1). These are the four k = 6 parameter cases identified as unresolved by Baicheva and Topalova in On the Existence of Optimal (v,5,1) and...

An Optimal Binary CPCW(122,6,1) Code: A Four-Block Construction

We give an explicit optimal binary cyclically permutable constant-weight code with parameters (v,k,λ) = (122,6,1). The construction consists of four 6-subsets of Z_122: B1 = {0,3,9,95,103,107},B2 = {0,7,32,45,65,79},B3 = {0,1,11,55,60,81},B4 = {0,2,31,48,71,87}. Exact independent...

Resolving the Four Remaining Open k=6 CPCW Cases: Explicit Optimal Constructions for v = 122, 123, 124, and 126

We present explicit optimal binary cyclically permutable constant-weight codes for CPCW(122,6,1), CPCW(123,6,1), CPCW(124,6,1), and CPCW(126,6,1). These are the four k = 6 parameter cases identified as unresolved by Baicheva and Topalova in On the Existence of Optimal (v,5,1) and...