Information on Result #1736362
Digital (41, 55, 97659)-net over F25, using net defined by OOA based on linear OOA(2555, 97659, F25, 18, 14) (dual of [(97659, 18), 1757807, 15]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2555, 390637, F25, 2, 14) (dual of [(390637, 2), 781219, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2555, 390639, F25, 2, 14) (dual of [(390639, 2), 781223, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2555, 390639, F25, 14) (dual of [390639, 390584, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2541, 390625, F25, 11) (dual of [390625, 390584, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(252, 14, F25, 2) (dual of [14, 12, 3]-code or 14-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2555, 390639, F25, 14) (dual of [390639, 390584, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(2555, 390639, F25, 2, 14) (dual of [(390639, 2), 781223, 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.