Information on Result #901109
Linear OOA(27101, 9937, F27, 2, 27) (dual of [(9937, 2), 19773, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2723, 96, F27, 2, 13) (dual of [(96, 2), 169, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(278, 48, F27, 2, 6) (dual of [(48, 2), 88, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,89P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- linear OOA(2715, 48, F27, 2, 13) (dual of [(48, 2), 81, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,82P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48 (see above)
- linear OOA(278, 48, F27, 2, 6) (dual of [(48, 2), 88, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2778, 9841, F27, 2, 27) (dual of [(9841, 2), 19604, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2778, 19682, F27, 27) (dual of [19682, 19604, 28]-code), using
- 1 times truncation [i] based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 1 times truncation [i] based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- OOA 2-folding [i] based on linear OA(2778, 19682, F27, 27) (dual of [19682, 19604, 28]-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.