Information on Result #896610
Linear OOA(8109, 131099, F8, 2, 19) (dual of [(131099, 2), 262089, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(812, 24, F8, 2, 9) (dual of [(24, 2), 36, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,38P) [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 NRT-code AGe(2;F,38P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OOA(897, 131075, F8, 2, 19) (dual of [(131075, 2), 262053, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(897, 262150, F8, 19) (dual of [262150, 262053, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 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(18) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(897, 262150, F8, 19) (dual of [262150, 262053, 20]-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.