Information on Result #722981
Linear OA(2587, 319, F25, 47) (dual of [319, 232, 48]-code), using construction XX applied to C1 = C([310,43]), C2 = C([0,44]), C3 = C1 + C2 = C([0,43]), and C∩ = C1 ∩ C2 = C([310,44]) based on
- linear OA(2584, 312, F25, 46) (dual of [312, 228, 47]-code), using the BCH-code C(I) with length 312 | 252−1, defining interval I = {−2,−1,…,43}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(2582, 312, F25, 45) (dual of [312, 230, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(2586, 312, F25, 47) (dual of [312, 226, 48]-code), using the BCH-code C(I) with length 312 | 252−1, defining interval I = {−2,−1,…,44}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(2580, 312, F25, 44) (dual of [312, 232, 45]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, 25, F25, 1) (dual of [25, 24, 2]-code), using
- Reed–Solomon code RS(24,25) [i]
- discarding factors / shortening the dual code based on linear OA(251, 25, F25, 1) (dual of [25, 24, 2]-code), using
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.