Information on Result #847993
Linear OOA(8166, 263, F8, 2, 62) (dual of [(263, 2), 360, 63]-NRT-code), using OOA 2-folding based on linear OA(8166, 526, F8, 62) (dual of [526, 360, 63]-code), using
- discarding factors / shortening the dual code based on linear OA(8166, 527, F8, 62) (dual of [527, 361, 63]-code), using
- construction XX applied to C1 = C([508,56]), C2 = C([0,58]), C3 = C1 + C2 = C([0,56]), and C∩ = C1 ∩ C2 = C([508,58]) [i] based on
- 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 = {−3,−2,…,56}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(8154, 511, F8, 59) (dual of [511, 357, 60]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,58], and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(8163, 511, F8, 62) (dual of [511, 348, 63]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,58}, and designed minimum distance d ≥ |I|+1 = 63 [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(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [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
- construction XX applied to C1 = C([508,56]), C2 = C([0,58]), C3 = C1 + C2 = C([0,56]), and C∩ = C1 ∩ C2 = C([508,58]) [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.