Information on Result #1723030
Digital (75, 93, 5219)-net over F5, using net defined by OOA based on linear OOA(593, 5219, F5, 21, 18) (dual of [(5219, 21), 109506, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(593, 15658, F5, 3, 18) (dual of [(15658, 3), 46881, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(593, 15659, F5, 3, 18) (dual of [(15659, 3), 46884, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(593, 15659, F5, 18) (dual of [15659, 15566, 19]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(591, 15655, F5, 18) (dual of [15655, 15564, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(585, 15625, F5, 18) (dual of [15625, 15540, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(561, 15625, F5, 13) (dual of [15625, 15564, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(591, 15657, F5, 17) (dual of [15657, 15566, 18]-code), using Gilbert–Varšamov bound and bm = 591 > Vbs−1(k−1) = 2654 694020 109117 627897 121660 679137 452167 534305 690097 590776 758625 [i]
- linear OA(50, 2, F5, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(591, 15655, F5, 18) (dual of [15655, 15564, 19]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(593, 15659, F5, 18) (dual of [15659, 15566, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(593, 15659, F5, 3, 18) (dual of [(15659, 3), 46884, 19]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.