Information on Result #715270
Linear OA(866, 538, F8, 22) (dual of [538, 472, 23]-code), using construction XX applied to C1 = C([506,14]), C2 = C([1,16]), C3 = C1 + C2 = C([1,14]), and C∩ = C1 ∩ C2 = C([506,16]) 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 = {−5,−4,…,14}, 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(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,16}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(839, 511, F8, 14) (dual of [511, 472, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(87, 23, F8, 5) (dual of [23, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(81, 4, F8, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-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.