Information on Result #715017
Linear OA(837, 533, F8, 12) (dual of [533, 496, 13]-code), using construction XX applied to C1 = C([508,5]), C2 = C([1,8]), C3 = C1 + C2 = C([1,5]), and C∩ = C1 ∩ C2 = C([508,8]) based on
- linear OA(825, 511, F8, 9) (dual of [511, 486, 10]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,5}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(821, 511, F8, 8) (dual of [511, 490, 9]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(831, 511, F8, 12) (dual of [511, 480, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,8}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(815, 511, F8, 5) (dual of [511, 496, 6]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(84, 14, F8, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,8)), using
- linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
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.