Information on Result #720613
Linear OA(9137, 771, F9, 46) (dual of [771, 634, 47]-code), using construction XX applied to C1 = C([719,32]), C2 = C([0,36]), C3 = C1 + C2 = C([0,32]), and C∩ = C1 ∩ C2 = C([719,36]) 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(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(9121, 728, F9, 46) (dual of [728, 607, 47]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,36}, and designed minimum distance d ≥ |I|+1 = 47 [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(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, 13, F9, 3) (dual of [13, 9, 4]-code or 13-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.