Information on Result #1014763
Linear OOA(8126, 699078, F8, 3, 19) (dual of [(699078, 3), 2097108, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(813, 25, F8, 3, 9) (dual of [(25, 3), 62, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,65P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- linear OOA(8113, 699053, F8, 3, 19) (dual of [(699053, 3), 2097046, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8113, 2097159, F8, 19) (dual of [2097159, 2097046, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(8113, 2097152, F8, 19) (dual of [2097152, 2097039, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(80, 7, F8, 0) (dual of [7, 7, 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 3-folding [i] based on linear OA(8113, 2097159, F8, 19) (dual of [2097159, 2097046, 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.