Information on Result #720395
Linear OA(9133, 781, F9, 43) (dual of [781, 648, 44]-code), using construction XX applied to C1 = C([719,27]), C2 = C([0,33]), C3 = C1 + C2 = C([0,27]), and C∩ = C1 ∩ C2 = C([719,33]) based on
- 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 = {−9,−8,…,27}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(991, 728, F9, 34) (dual of [728, 637, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(9115, 728, F9, 43) (dual of [728, 613, 44]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,33}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(911, 28, F9, 8) (dual of [28, 17, 9]-code), using
- extended algebraic-geometric code AGe(F,19P) [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,19P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(97, 25, F9, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-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.