Information on Result #900432
Linear OOA(2726, 9871, F27, 2, 8) (dual of [(9871, 2), 19716, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(274, 28, F27, 2, 4) (dual of [(28, 2), 52, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;52,27) [i]
- 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(27102, 4204172, F27, 2, 16) (dual of [(4204172, 2), 8408242, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(27107, 4204172, F27, 2, 17) (dual of [(4204172, 2), 8408237, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(2726, 4935, F27, 10, 8) (dual of [(4935, 10), 49324, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |