Information on Result #678715
Linear OA(494, 65565, F4, 15) (dual of [65565, 65471, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(489, 65536, F4, 15) (dual of [65536, 65447, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(465, 65536, F4, 11) (dual of [65536, 65471, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(45, 29, F4, 3) (dual of [29, 24, 4]-code or 29-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(494, 38302, F4, 2, 15) (dual of [(38302, 2), 76510, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(494, 38302, F4, 3, 15) (dual of [(38302, 3), 114812, 16]-NRT-code) | [i] | ||
| 3 | Digital (79, 94, 38302)-net over F4 | [i] | ||
| 4 | Linear OOA(494, 32782, F4, 2, 15) (dual of [(32782, 2), 65470, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(494, 21855, F4, 3, 15) (dual of [(21855, 3), 65471, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(494, 9366, F4, 15, 15) (dual of [(9366, 15), 140396, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |