Information on Result #717086
Linear OA(8171, 523, F8, 64) (dual of [523, 352, 65]-code), using construction XX applied to C1 = C([508,59]), C2 = C([0,60]), C3 = C1 + C2 = C([0,59]), and C∩ = C1 ∩ C2 = C([508,60]) based on
- linear OA(8166, 511, F8, 63) (dual of [511, 345, 64]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,59}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(8160, 511, F8, 61) (dual of [511, 351, 62]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,60], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(8169, 511, F8, 64) (dual of [511, 342, 65]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,60}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(8157, 511, F8, 60) (dual of [511, 354, 61]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,59], and designed minimum distance d ≥ |I|+1 = 61 [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(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
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.