Information on Result #679139
Linear OA(497, 16410, F4, 18) (dual of [16410, 16313, 19]-code), using construction X applied to Ce(17) ⊂ Ce(13) based on
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(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(497, 9273, F4, 2, 18) (dual of [(9273, 2), 18449, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(497, 9273, F4, 3, 18) (dual of [(9273, 3), 27722, 19]-NRT-code) | [i] | ||
| 3 | Digital (79, 97, 9273)-net over F4 | [i] | ||
| 4 | Linear OOA(497, 8205, F4, 2, 18) (dual of [(8205, 2), 16313, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(497, 5470, F4, 3, 18) (dual of [(5470, 3), 16313, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(497, 1823, F4, 18, 18) (dual of [(1823, 18), 32717, 19]-NRT-code) | [i] | OA Folding and Stacking | |