Information on Result #846618
Linear OOA(877, 50, F8, 2, 45) (dual of [(50, 2), 23, 46]-NRT-code), using OOA 2-folding based on linear OA(877, 100, F8, 45) (dual of [100, 23, 46]-code), using
- construction XX applied to C1 = C([10,45]), C2 = C([1,35]), C3 = C1 + C2 = C([10,35]), and C∩ = C1 ∩ C2 = C([1,45]) [i] based on
- linear OA(848, 63, F8, 36) (dual of [63, 15, 37]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {10,11,…,45}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(847, 63, F8, 35) (dual of [63, 16, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(855, 63, F8, 45) (dual of [63, 8, 46]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(838, 63, F8, 26) (dual of [63, 25, 27]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {10,11,…,35}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(812, 20, F8, 9) (dual of [20, 8, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(812, 23, F8, 9) (dual of [23, 11, 10]-code), using
- algebraic-geometric code AG(F,13P) [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,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(812, 23, F8, 9) (dual of [23, 11, 10]-code), using
- linear OA(810, 17, F8, 8) (dual of [17, 7, 9]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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.