Information on Result #720216
Linear OA(9107, 759, F9, 37) (dual of [759, 652, 38]-code), using construction XX applied to C1 = C([66,100]), C2 = C([64,93]), C3 = C1 + C2 = C([66,93]), and C∩ = C1 ∩ C2 = C([64,100]) based on
- linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,100}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,93}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,100}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(976, 728, F9, 28) (dual of [728, 652, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,93}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(99, 27, F9, 6) (dual of [27, 18, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- linear OA(91, 4, F9, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 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.