Information on Result #1736334
Digital (27, 41, 2515)-net over F25, using net defined by OOA based on linear OOA(2541, 2515, F25, 18, 14) (dual of [(2515, 18), 45229, 15]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2541, 10061, F25, 2, 14) (dual of [(10061, 2), 20081, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2541, 10063, F25, 2, 14) (dual of [(10063, 2), 20085, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2541, 10063, F25, 14) (dual of [10063, 10022, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2541, 15632, F25, 14) (dual of [15632, 15591, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(2540, 15625, F25, 14) (dual of [15625, 15585, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(2541, 15632, F25, 14) (dual of [15632, 15591, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2541, 10063, F25, 14) (dual of [10063, 10022, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(2541, 10063, F25, 2, 14) (dual of [(10063, 2), 20085, 15]-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.