Information on Result #716411
Linear OA(8143, 560, F8, 48) (dual of [560, 417, 49]-code), using construction XX applied to C1 = C([41,82]), C2 = C([35,75]), C3 = C1 + C2 = C([41,75]), and C∩ = C1 ∩ C2 = C([35,82]) based on
- linear OA(8109, 511, F8, 42) (dual of [511, 402, 43]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,82}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(8109, 511, F8, 41) (dual of [511, 402, 42]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {35,36,…,75}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(8127, 511, F8, 48) (dual of [511, 384, 49]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {35,36,…,82}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(891, 511, F8, 35) (dual of [511, 420, 36]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,75}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(89, 24, F8, 6) (dual of [24, 15, 7]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(87, 25, F8, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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.