Information on Result #720082
Linear OA(9113, 777, F9, 36) (dual of [777, 664, 37]-code), using construction XX applied to C1 = C([71,101]), C2 = C([66,93]), C3 = C1 + C2 = C([71,93]), and C∩ = C1 ∩ C2 = C([66,101]) based on
- linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {71,72,…,101}, and designed minimum distance d ≥ |I|+1 = 32 [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(997, 728, F9, 36) (dual of [728, 631, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,101}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(961, 728, F9, 23) (dual of [728, 667, 24]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {71,72,…,93}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(910, 28, F9, 7) (dual of [28, 18, 8]-code), using
- extended algebraic-geometric code AGe(F,20P) [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,20P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(96, 21, F9, 4) (dual of [21, 15, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-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.