Information on Result #1456022
Linear OOA(2549, 413, F25, 2, 24) (dual of [(413, 2), 777, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2549, 413, F25, 24) (dual of [413, 364, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2549, 633, F25, 24) (dual of [633, 584, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(20) [i] based on
- linear OA(2547, 625, F25, 24) (dual of [625, 578, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2541, 625, F25, 21) (dual of [625, 584, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(252, 8, F25, 2) (dual of [8, 6, 3]-code or 8-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(23) ⊂ Ce(20) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.