Information on Result #715957
Linear OA(8116, 549, F8, 39) (dual of [549, 433, 40]-code), using construction XX applied to C1 = C([505,29]), C2 = C([1,32]), C3 = C1 + C2 = C([1,29]), and C∩ = C1 ∩ C2 = C([505,32]) based on
- linear OA(897, 511, F8, 36) (dual of [511, 414, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,29}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(884, 511, F8, 32) (dual of [511, 427, 33]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8103, 511, F8, 39) (dual of [511, 408, 40]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,32}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(878, 511, F8, 29) (dual of [511, 433, 30]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(811, 30, F8, 6) (dual of [30, 19, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), 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.