Information on Result #901130
Linear OOA(2797, 9905, F27, 2, 28) (dual of [(9905, 2), 19713, 29]-NRT-code), using (u, u+v)-construction based on
- 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(2779, 9841, F27, 2, 28) (dual of [(9841, 2), 19603, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2779, 19682, F27, 28) (dual of [19682, 19603, 29]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- OOA 2-folding [i] based on linear OA(2779, 19682, F27, 28) (dual of [19682, 19603, 29]-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(2797, 1414, F27, 30, 28) (dual of [(1414, 30), 42323, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |