Information on Result #720657
Linear OA(9137, 778, F9, 45) (dual of [778, 641, 46]-code), using construction XX applied to C1 = C([721,31]), C2 = C([0,37]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([721,37]) based on
- linear OA(9106, 728, F9, 39) (dual of [728, 622, 40]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,31}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(9121, 728, F9, 45) (dual of [728, 607, 46]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,37}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
- 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
- linear OA(97, 22, F9, 5) (dual of [22, 15, 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.