Information on Result #696205
Linear OA(2780, 367, F27, 44) (dual of [367, 287, 45]-code), using construction X applied to Ce(43) ⊂ Ce(42) based on
- linear OA(2780, 365, F27, 44) (dual of [365, 285, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2778, 365, F27, 43) (dual of [365, 287, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 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 OA(2782, 377, F27, 44) (dual of [377, 295, 45]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(2783, 399, F27, 44) (dual of [399, 316, 45]-code) | [i] | ||
| 3 | Linear OOA(2780, 183, F27, 2, 44) (dual of [(183, 2), 286, 45]-NRT-code) | [i] | OOA Folding | |