Information on Result #715974
Linear OA(8125, 565, F8, 40) (dual of [565, 440, 41]-code), using construction XX applied to C1 = C([49,82]), C2 = C([43,74]), C3 = C1 + C2 = C([49,74]), and C∩ = C1 ∩ C2 = C([43,82]) based on
- linear OA(888, 511, F8, 34) (dual of [511, 423, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {49,50,…,82}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(885, 511, F8, 32) (dual of [511, 426, 33]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {43,44,…,74}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8106, 511, F8, 40) (dual of [511, 405, 41]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {43,44,…,82}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {49,50,…,74}, and designed minimum distance d ≥ |I|+1 = 27 [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, 25, F8, 5) (dual of [25, 18, 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.