Information on Result #696206
Linear OA(2778, 366, F27, 43) (dual of [366, 288, 44]-code), using construction X applied to Ce(42) ⊂ Ce(41) based on
- 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(2777, 365, F27, 42) (dual of [365, 288, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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 OA(2779, 367, F27, 43) (dual of [367, 288, 44]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2776, 364, F27, 41) (dual of [364, 288, 42]-code) | [i] | Truncation | |
| 3 | Linear OA(2780, 373, F27, 43) (dual of [373, 293, 44]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(2781, 390, F27, 43) (dual of [390, 309, 44]-code) | [i] | ||
| 5 | Linear OOA(2778, 183, F27, 2, 43) (dual of [(183, 2), 288, 44]-NRT-code) | [i] | OOA Folding | |