Information on Result #899924
Linear OOA(2597, 195343, F25, 2, 22) (dual of [(195343, 2), 390589, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2511, 26, F25, 2, 11) (dual of [(26, 2), 41, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;41,25) [i]
- linear OOA(2586, 195317, F25, 2, 22) (dual of [(195317, 2), 390548, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2586, 390634, F25, 22) (dual of [390634, 390548, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(2585, 390625, F25, 22) (dual of [390625, 390540, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2577, 390625, F25, 20) (dual of [390625, 390548, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 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(21) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(2586, 390634, F25, 22) (dual of [390634, 390548, 23]-code), using
Mode: Constructive and 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.