Information on Result #696457
Linear OA(2736, 106, F27, 21) (dual of [106, 70, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
- linear OA(2736, 105, F27, 21) (dual of [105, 69, 22]-code), using an extension Ce(20) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2735, 105, F27, 20) (dual of [105, 70, 21]-code), using an extension Ce(19) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 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
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(2736, 53, F27, 2, 21) (dual of [(53, 2), 70, 22]-NRT-code) | [i] | OOA Folding | |