Information on Result #695633
Linear OA(2752, 734, F27, 26) (dual of [734, 682, 27]-code), using construction X applied to Ce(25) ⊂ Ce(23) based on
- linear OA(2751, 729, F27, 26) (dual of [729, 678, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2747, 729, F27, 24) (dual of [729, 682, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2752, 404, F27, 2, 26) (dual of [(404, 2), 756, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (26, 52, 404)-net over F27 | [i] | ||
| 3 | Linear OOA(2752, 367, F27, 2, 26) (dual of [(367, 2), 682, 27]-NRT-code) | [i] | OOA Folding | |