Information on Result #866347
Linear OOA(27110, 265723, F27, 2, 29) (dual of [(265723, 2), 531336, 30]-NRT-code), using OOA 2-folding based on linear OA(27110, 531446, F27, 29) (dual of [531446, 531336, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(27109, 531445, F27, 29) (dual of [531445, 531336, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(27109, 531441, F27, 29) (dual of [531441, 531332, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(27105, 531441, F27, 28) (dual of [531441, 531336, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 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
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
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 | Digital (81, 110, 265723)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |