Information on Result #715985
Linear OA(8120, 551, F8, 40) (dual of [551, 431, 41]-code), using construction XX applied to C1 = C([47,82]), C2 = C([43,74]), C3 = C1 + C2 = C([47,74]), and C∩ = C1 ∩ C2 = C([43,82]) based on
- linear OA(894, 511, F8, 36) (dual of [511, 417, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {47,48,…,82}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(885, 511, F8, 32) (dual of [511, 426, 33]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {43,44,…,74}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8106, 511, F8, 40) (dual of [511, 405, 41]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {43,44,…,82}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {47,48,…,74}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(810, 24, F8, 7) (dual of [24, 14, 8]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- algebraic-geometric code AG(F,8P) with degPÂ =Â 2 [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,16P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), 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.