Information on Result #971889
Linear OOA(518, 210, F5, 3, 6) (dual of [(210, 3), 612, 7]-NRT-code), using OOA 3-folding based on linear OA(518, 630, F5, 6) (dual of [630, 612, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(517, 625, F5, 6) (dual of [625, 608, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(513, 625, F5, 4) (dual of [625, 612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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(519, 210, F5, 3, 6) (dual of [(210, 3), 611, 7]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5109, 2796411, F5, 3, 12) (dual of [(2796411, 3), 8389124, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(5130, 4194511, F5, 3, 12) (dual of [(4194511, 3), 12583403, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(5119, 2796411, F5, 3, 13) (dual of [(2796411, 3), 8389114, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(5140, 4194511, F5, 3, 13) (dual of [(4194511, 3), 12583393, 14]-NRT-code) | [i] | ||