Information on Result #695621
Linear OA(2775, 734, F27, 39) (dual of [734, 659, 40]-code), using construction X applied to Ce(38) ⊂ Ce(36) based on
- linear OA(2774, 729, F27, 39) (dual of [729, 655, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2770, 729, F27, 37) (dual of [729, 659, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(2775, 367, F27, 2, 39) (dual of [(367, 2), 659, 40]-NRT-code) | [i] | OOA Folding | |