Information on Result #717315
Linear OA(8116, 599, F8, 35) (dual of [599, 483, 36]-code), using construction XX applied to C1 = C([55,87]), C2 = C([53,85]), C3 = C1 + C2 = C([55,85]), and C∩ = C1 ∩ C2 = C([53,87]) based on
- linear OA(8106, 585, F8, 33) (dual of [585, 479, 34]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {55,56,…,87}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8110, 585, F8, 33) (dual of [585, 475, 34]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {53,54,…,85}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8114, 585, F8, 35) (dual of [585, 471, 36]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {53,54,…,87}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8102, 585, F8, 31) (dual of [585, 483, 32]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {55,56,…,85}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 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
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 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.