Information on Result #715701
Linear OA(8105, 558, F8, 34) (dual of [558, 453, 35]-code), using construction XX applied to C1 = C([503,21]), C2 = C([0,25]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([503,25]) 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(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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 = {−8,−7,…,25}, and designed minimum distance d ≥ |I|+1 = 35 [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(813, 34, F8, 7) (dual of [34, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), using
- linear OA(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,8)), 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.