Information on Result #678416
Linear OA(4222, 262176, F4, 33) (dual of [262176, 261954, 34]-code), using construction X applied to Ce(32) ⊂ Ce(28) based on
- linear OA(4217, 262144, F4, 33) (dual of [262144, 261927, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(4222, 262176, F4, 32) (dual of [262176, 261954, 33]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4223, 262177, F4, 33) (dual of [262177, 261954, 34]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4224, 262178, F4, 33) (dual of [262178, 261954, 34]-code) | [i] | ||
| 4 | Linear OA(4225, 262179, F4, 33) (dual of [262179, 261954, 34]-code) | [i] | ||
| 5 | Linear OA(4221, 262175, F4, 32) (dual of [262175, 261954, 33]-code) | [i] | Truncation | |
| 6 | Linear OOA(4222, 131088, F4, 2, 33) (dual of [(131088, 2), 261954, 34]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4222, 87392, F4, 3, 33) (dual of [(87392, 3), 261954, 34]-NRT-code) | [i] | ||