Information on Result #714660
Linear OA(861, 93, F8, 32) (dual of [93, 32, 33]-code), using construction XX applied to C1 = C([9,37]), C2 = C([6,28]), C3 = C1 + C2 = C([9,28]), and C∩ = C1 ∩ C2 = C([6,37]) based on
- linear OA(842, 63, F8, 29) (dual of [63, 21, 30]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {9,10,…,37}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(837, 63, F8, 23) (dual of [63, 26, 24]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {6,7,…,28}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(848, 63, F8, 32) (dual of [63, 15, 33]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {6,7,…,37}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(831, 63, F8, 20) (dual of [63, 32, 21]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {9,10,…,28}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(811, 22, F8, 8) (dual of [22, 11, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 23, F8, 8) (dual of [23, 12, 9]-code), using
- algebraic-geometric code AG(F,14P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- algebraic-geometric code AG(F,14P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(811, 23, F8, 8) (dual of [23, 12, 9]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.