Information on Result #714704
Linear OA(864, 93, F8, 35) (dual of [93, 29, 36]-code), using construction XX applied to C1 = C([8,35]), C2 = C([1,26]), C3 = C1 + C2 = C([8,26]), and C∩ = C1 ∩ C2 = C([1,35]) based on
- linear OA(841, 63, F8, 28) (dual of [63, 22, 29]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {8,9,…,35}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(838, 63, F8, 26) (dual of [63, 25, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(847, 63, F8, 35) (dual of [63, 16, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(830, 63, F8, 19) (dual of [63, 33, 20]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {8,9,…,26}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(810, 17, F8, 8) (dual of [17, 7, 9]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OA(87, 13, F8, 6) (dual of [13, 6, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 14, F8, 6) (dual of [14, 7, 7]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OA(87, 14, F8, 6) (dual of [14, 7, 7]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.