Information on Result #715771
Linear OA(8113, 562, F8, 36) (dual of [562, 449, 37]-code), using construction XX applied to C1 = C([503,21]), C2 = C([0,27]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([503,27]) based on
- linear OA(879, 511, F8, 30) (dual of [511, 432, 31]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,21}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(894, 511, F8, 36) (dual of [511, 417, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,27}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(812, 29, F8, 7) (dual of [29, 17, 8]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- 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(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), using
- linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
- Denniston code D(1,8) [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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.