Information on Result #2240327
Linear OA(489, 16409, F4, 16) (dual of [16409, 16320, 17]-code), using 1 times truncation based on linear OA(490, 16410, F4, 17) (dual of [16410, 16320, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(489, 12256, F4, 2, 16) (dual of [(12256, 2), 24423, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(489, 12256, F4, 3, 16) (dual of [(12256, 3), 36679, 17]-NRT-code) | [i] | ||
| 3 | Digital (73, 89, 12256)-net over F4 | [i] | ||
| 4 | Linear OOA(489, 8204, F4, 2, 16) (dual of [(8204, 2), 16319, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(489, 5469, F4, 3, 16) (dual of [(5469, 3), 16318, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(489, 2051, F4, 16, 16) (dual of [(2051, 16), 32727, 17]-NRT-code) | [i] | OA Folding and Stacking | |