Information on Result #719086
Linear OA(960, 763, F9, 18) (dual of [763, 703, 19]-code), using construction XX applied to C1 = C([723,10]), C2 = C([3,12]), C3 = C1 + C2 = C([3,10]), and C∩ = C1 ∩ C2 = C([723,12]) based on
- linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,10}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(930, 728, F9, 10) (dual of [728, 698, 11]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {3,4,…,12}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(949, 728, F9, 18) (dual of [728, 679, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,12}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(924, 728, F9, 8) (dual of [728, 704, 9]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {3,4,…,10}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(910, 28, F9, 7) (dual of [28, 18, 8]-code), using
- extended algebraic-geometric code AGe(F,20P) [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,20P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-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.