Information on Result #720229
Linear OA(9126, 783, F9, 40) (dual of [783, 657, 41]-code), using construction XX applied to C1 = C([719,23]), C2 = C([0,30]), C3 = C1 + C2 = C([0,23]), and C∩ = C1 ∩ C2 = C([719,30]) based on
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,23}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,30}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(964, 728, F9, 24) (dual of [728, 664, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [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(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 (see above)
- discarding factors / shortening the dual code based on linear OA(99, 28, F9, 6) (dual of [28, 19, 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.
Other Results with Identical Parameters
None.
Depending Results
None.