Information on Result #847845
Linear OOA(8158, 260, F8, 2, 60) (dual of [(260, 2), 362, 61]-NRT-code), using OOA 2-folding based on linear OA(8158, 520, F8, 60) (dual of [520, 362, 61]-code), using
- discarding factors / shortening the dual code based on linear OA(8158, 521, F8, 60) (dual of [521, 363, 61]-code), using
- construction XX applied to C1 = C([509,56]), C2 = C([0,57]), C3 = C1 + C2 = C([0,56]), and C∩ = C1 ∩ C2 = C([509,57]) [i] based on
- linear OA(8154, 511, F8, 59) (dual of [511, 357, 60]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−2,−1,…,56}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(8151, 511, F8, 58) (dual of [511, 360, 59]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,57], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(8157, 511, F8, 60) (dual of [511, 354, 61]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−2,−1,…,57}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(8148, 511, F8, 57) (dual of [511, 363, 58]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,56], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([509,56]), C2 = C([0,57]), C3 = C1 + C2 = C([0,56]), and C∩ = C1 ∩ C2 = C([509,57]) [i] based on
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.