Information on Result #862129
Linear OOA(25109, 195314, F25, 2, 29) (dual of [(195314, 2), 390519, 30]-NRT-code), using OOA 2-folding based on linear OA(25109, 390628, F25, 29) (dual of [390628, 390519, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(25109, 390629, F25, 29) (dual of [390629, 390520, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(25109, 390625, F25, 29) (dual of [390625, 390516, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(25105, 390625, F25, 28) (dual of [390625, 390520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 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 (80, 109, 195314)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |