Information on Result #719391
Linear OA(986, 774, F9, 26) (dual of [774, 688, 27]-code), using construction XX applied to C1 = C([719,12]), C2 = C([0,16]), C3 = C1 + C2 = C([0,12]), and C∩ = C1 ∩ C2 = C([719,16]) based on
- linear OA(958, 728, F9, 22) (dual of [728, 670, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,12}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(946, 728, F9, 17) (dual of [728, 682, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,16}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(912, 30, F9, 8) (dual of [30, 18, 9]-code), using
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), 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.