Information on Result #1721682
Digital (20, 26, 12926)-net over F5, using net defined by OOA based on linear OOA(526, 12926, F5, 9, 6) (dual of [(12926, 9), 116308, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(526, 12927, F5, 3, 6) (dual of [(12927, 3), 38755, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(526, 12927, F5, 6) (dual of [12927, 12901, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(526, 15632, F5, 6) (dual of [15632, 15606, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(525, 15625, F5, 6) (dual of [15625, 15600, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(519, 15625, F5, 4) (dual of [15625, 15606, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(5) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(526, 15632, F5, 6) (dual of [15632, 15606, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(526, 12927, F5, 6) (dual of [12927, 12901, 7]-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.