Information on Result #715851
Linear OA(8114, 551, F8, 38) (dual of [551, 437, 39]-code), using construction XX applied to C1 = C([503,25]), C2 = C([0,29]), C3 = C1 + C2 = C([0,25]), and C∩ = C1 ∩ C2 = C([503,29]) based on
- linear OA(888, 511, F8, 34) (dual of [511, 423, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,25}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(879, 511, F8, 30) (dual of [511, 432, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8100, 511, F8, 38) (dual of [511, 411, 39]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,29}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [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.