Information on Result #1724046
Digital (96, 122, 1634)-net over F5, using net defined by OOA based on linear OOA(5122, 1634, F5, 33, 26) (dual of [(1634, 33), 53800, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5122, 8171, F5, 3, 26) (dual of [(8171, 3), 24391, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5122, 8173, F5, 3, 26) (dual of [(8173, 3), 24397, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5122, 8173, F5, 26) (dual of [8173, 8051, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5122, 15632, F5, 26) (dual of [15632, 15510, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5115, 15625, F5, 24) (dual of [15625, 15510, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(5122, 15632, F5, 26) (dual of [15632, 15510, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5122, 8173, F5, 26) (dual of [8173, 8051, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(5122, 8173, F5, 3, 26) (dual of [(8173, 3), 24397, 27]-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.