Information on Result #715267
Linear OA(874, 549, F8, 23) (dual of [549, 475, 24]-code), using construction XX applied to C1 = C([505,13]), C2 = C([1,16]), C3 = C1 + C2 = C([1,13]), and C∩ = C1 ∩ C2 = C([505,16]) based on
- linear OA(855, 511, F8, 20) (dual of [511, 456, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,13}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(842, 511, F8, 16) (dual of [511, 469, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(861, 511, F8, 23) (dual of [511, 450, 24]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,16}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(836, 511, F8, 13) (dual of [511, 475, 14]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.