Information on Result #679143
Linear OA(476, 16410, F4, 14) (dual of [16410, 16334, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) based on
- linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(450, 16384, F4, 10) (dual of [16384, 16334, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(45, 26, F4, 3) (dual of [26, 21, 4]-code or 26-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(476, 10203, F4, 2, 14) (dual of [(10203, 2), 20330, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(476, 10203, F4, 3, 14) (dual of [(10203, 3), 30533, 15]-NRT-code) | [i] | ||
| 3 | Digital (62, 76, 10203)-net over F4 | [i] | ||
| 4 | Linear OOA(476, 8205, F4, 2, 14) (dual of [(8205, 2), 16334, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(476, 5470, F4, 3, 14) (dual of [(5470, 3), 16334, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(476, 2344, F4, 14, 14) (dual of [(2344, 14), 32740, 15]-NRT-code) | [i] | OA Folding and Stacking | |