Information on Result #678437
Linear OA(460, 262176, F4, 9) (dual of [262176, 262116, 10]-code), using construction X applied to Ce(8) ⊂ Ce(4) based on
- linear OA(455, 262144, F4, 9) (dual of [262144, 262089, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(428, 262144, F4, 5) (dual of [262144, 262116, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-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 OA(459, 262175, F4, 8) (dual of [262175, 262116, 9]-code) | [i] | Truncation | |
| 2 | Linear OOA(460, 131088, F4, 2, 9) (dual of [(131088, 2), 262116, 10]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(460, 87392, F4, 3, 9) (dual of [(87392, 3), 262116, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(460, 65543, F4, 9, 9) (dual of [(65543, 9), 589827, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |