Information on Result #716299
Linear OA(8131, 542, F8, 46) (dual of [542, 411, 47]-code), using construction XX applied to C1 = C([38,81]), C2 = C([36,74]), C3 = C1 + C2 = C([38,74]), and C∩ = C1 ∩ C2 = C([36,81]) based on
- linear OA(8115, 511, F8, 44) (dual of [511, 396, 45]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {38,39,…,81}, and designed minimum distance d ≥ |I|+1 = 45 [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 = {36,37,…,74}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(8121, 511, F8, 46) (dual of [511, 390, 47]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {36,37,…,81}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(897, 511, F8, 37) (dual of [511, 414, 38]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {38,39,…,74}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(89, 24, F8, 6) (dual of [24, 15, 7]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(81, 7, F8, 1) (dual of [7, 6, 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.