Information on Result #695634
Linear OA(2748, 734, F27, 24) (dual of [734, 686, 25]-code), using construction X applied to Ce(23) ⊂ Ce(21) based on
- 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(2743, 729, F27, 22) (dual of [729, 686, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(2748, 367, F27, 2, 24) (dual of [(367, 2), 686, 25]-NRT-code) | [i] | OOA Folding |