Information on Result #1018040
Linear OOA(6451, 1447, F64, 3, 20) (dual of [(1447, 3), 4290, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6411, 80, F64, 3, 10) (dual of [(80, 3), 229, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,229P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6440, 1367, F64, 3, 20) (dual of [(1367, 3), 4061, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6440, 4101, F64, 20) (dual of [4101, 4061, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(6440, 4101, F64, 20) (dual of [4101, 4061, 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.