Information on Result #719906
Linear OA(9111, 777, F9, 35) (dual of [777, 666, 36]-code), using construction XX applied to C1 = C([719,20]), C2 = C([0,25]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([719,25]) based on
- linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,20}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [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 = {−9,−8,…,25}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [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(96, 21, F9, 4) (dual of [21, 15, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-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.