Information on Result #695607
Linear OA(27103, 734, F27, 53) (dual of [734, 631, 54]-code), using construction X applied to Ce(52) ⊂ Ce(50) based on
- linear OA(27102, 729, F27, 53) (dual of [729, 627, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2798, 729, F27, 51) (dual of [729, 631, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [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(27103, 367, F27, 2, 53) (dual of [(367, 2), 631, 54]-NRT-code) | [i] | OOA Folding | |