Information on Result #901167
Linear OOA(27108, 9945, F27, 2, 29) (dual of [(9945, 2), 19782, 30]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2726, 102, F27, 2, 14) (dual of [(102, 2), 178, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(278, 38, F27, 2, 7) (dual of [(38, 2), 68, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,68P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2718, 64, F27, 2, 14) (dual of [(64, 2), 110, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,113P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- linear OOA(278, 38, F27, 2, 7) (dual of [(38, 2), 68, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2782, 9843, F27, 2, 29) (dual of [(9843, 2), 19604, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2782, 19686, F27, 29) (dual of [19686, 19604, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- OOA 2-folding [i] based on linear OA(2782, 19686, F27, 29) (dual of [19686, 19604, 30]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(27108, 1420, F27, 30, 29) (dual of [(1420, 30), 42492, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |