Information on Result #1014501
Linear OOA(872, 10949, F8, 3, 14) (dual of [(10949, 3), 32775, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(811, 25, F8, 3, 7) (dual of [(25, 3), 64, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,67P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- linear OOA(861, 10924, F8, 3, 14) (dual of [(10924, 3), 32711, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(861, 32772, F8, 14) (dual of [32772, 32711, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(861, 32773, F8, 14) (dual of [32773, 32712, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(861, 32768, F8, 14) (dual of [32768, 32707, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(861, 32773, F8, 14) (dual of [32773, 32712, 15]-code), using
- OOA 3-folding [i] based on linear OA(861, 32772, F8, 14) (dual of [32772, 32711, 15]-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.