Information on Result #679147
Linear OA(455, 16410, F4, 10) (dual of [16410, 16355, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
- 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(429, 16384, F4, 6) (dual of [16384, 16355, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(455, 8205, F4, 2, 10) (dual of [(8205, 2), 16355, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(455, 5470, F4, 3, 10) (dual of [(5470, 3), 16355, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(455, 3282, F4, 10, 10) (dual of [(3282, 10), 32765, 11]-NRT-code) | [i] | OA Folding and Stacking | |