Information on Result #972310
Linear OOA(5101, 651048, F5, 3, 14) (dual of [(651048, 3), 1953043, 15]-NRT-code), using OOA 3-folding based on linear OA(5101, 1953144, F5, 14) (dual of [1953144, 1953043, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(5100, 1953125, F5, 14) (dual of [1953125, 1953025, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(51, 19, F5, 1) (dual of [19, 18, 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(5102, 651048, F5, 3, 14) (dual of [(651048, 3), 1953042, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5109, 651058, F5, 3, 14) (dual of [(651058, 3), 1953065, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |