Information on Result #1724144
Digital (102, 129, 1925)-net over F5, using net defined by OOA based on linear OOA(5129, 1925, F5, 33, 27) (dual of [(1925, 33), 63396, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5129, 9626, F5, 3, 27) (dual of [(9626, 3), 28749, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5129, 9627, F5, 3, 27) (dual of [(9627, 3), 28752, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5129, 9627, F5, 27) (dual of [9627, 9498, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(5129, 15634, F5, 27) (dual of [15634, 15505, 28]-code), using
- construction XX applied to Ce(26) ⊂ Ce(25) ⊂ Ce(23) [i] based on
- linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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(50, 7, F5, 0) (dual of [7, 7, 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(51, 2, F5, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- construction XX applied to Ce(26) ⊂ Ce(25) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(5129, 15634, F5, 27) (dual of [15634, 15505, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5129, 9627, F5, 27) (dual of [9627, 9498, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(5129, 9627, F5, 3, 27) (dual of [(9627, 3), 28752, 28]-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.