Information on Result #720485
Linear OA(9123, 764, F9, 42) (dual of [764, 641, 43]-code), using construction XX applied to C1 = C([52,90]), C2 = C([59,93]), C3 = C1 + C2 = C([59,90]), and C∩ = C1 ∩ C2 = C([52,93]) based on
- linear OA(9105, 728, F9, 39) (dual of [728, 623, 40]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {52,53,…,90}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {59,60,…,93}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- 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 = {52,53,…,93}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(987, 728, F9, 32) (dual of [728, 641, 33]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {59,60,…,90}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- 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, 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
- discarding factors / shortening the dual code based on linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
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.