Information on Result #900433
Linear OOA(2727, 9881, F27, 2, 8) (dual of [(9881, 2), 19735, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(275, 38, F27, 2, 4) (dual of [(38, 2), 71, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,71P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2722, 9843, F27, 2, 8) (dual of [(9843, 2), 19664, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2722, 19686, F27, 8) (dual of [19686, 19664, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(2722, 19683, F27, 8) (dual of [19683, 19661, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2719, 19683, F27, 7) (dual of [19683, 19664, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- OOA 2-folding [i] based on linear OA(2722, 19686, F27, 8) (dual of [19686, 19664, 9]-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(27103, 4204182, F27, 2, 16) (dual of [(4204182, 2), 8408261, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(27108, 4204182, F27, 2, 17) (dual of [(4204182, 2), 8408256, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(2727, 4940, F27, 10, 8) (dual of [(4940, 10), 49373, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |