Information on Result #1014806
Linear OOA(8134, 699079, F8, 3, 20) (dual of [(699079, 3), 2097103, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(813, 24, F8, 3, 10) (dual of [(24, 3), 59, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,61P) [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(3;F,61P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OOA(8121, 699055, F8, 3, 20) (dual of [(699055, 3), 2097044, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8121, 2097165, F8, 20) (dual of [2097165, 2097044, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8121, 2097167, F8, 20) (dual of [2097167, 2097046, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(8121, 2097167, F8, 20) (dual of [2097167, 2097046, 21]-code), using
- OOA 3-folding [i] based on linear OA(8121, 2097165, F8, 20) (dual of [2097165, 2097044, 21]-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.