Information on Result #971934
Linear OOA(541, 130211, F5, 3, 7) (dual of [(130211, 3), 390592, 8]-NRT-code), using OOA 3-folding based on linear OA(541, 390633, F5, 7) (dual of [390633, 390592, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(541, 390625, F5, 7) (dual of [390625, 390584, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(533, 390625, F5, 6) (dual of [390625, 390592, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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(542, 130211, F5, 3, 7) (dual of [(130211, 3), 390591, 8]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(544, 130217, F5, 3, 7) (dual of [(130217, 3), 390607, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(545, 130237, F5, 3, 7) (dual of [(130237, 3), 390666, 8]-NRT-code) | [i] | ||