Information on Result #720731
Linear OA(9145, 778, F9, 48) (dual of [778, 633, 49]-code), using construction XX applied to C1 = C([719,32]), C2 = C([0,38]), C3 = C1 + C2 = C([0,32]), and C∩ = C1 ∩ C2 = C([719,38]) based on
- linear OA(9112, 728, F9, 42) (dual of [728, 616, 43]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,32}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(9103, 728, F9, 39) (dual of [728, 625, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(9127, 728, F9, 48) (dual of [728, 601, 49]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,38}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [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, 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.