Information on Result #715273
Linear OA(878, 551, F8, 24) (dual of [551, 473, 25]-code), using construction XX applied to C1 = C([508,16]), C2 = C([5,20]), C3 = C1 + C2 = C([5,16]), and C∩ = C1 ∩ C2 = C([508,20]) based on
- linear OA(852, 511, F8, 20) (dual of [511, 459, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,16}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(848, 511, F8, 16) (dual of [511, 463, 17]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {5,6,…,20}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(864, 511, F8, 24) (dual of [511, 447, 25]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,20}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(836, 511, F8, 12) (dual of [511, 475, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {5,6,…,16}, and designed minimum distance d ≥ |I|+1 = 13 [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.