Information on Result #678414
Linear OA(4240, 262176, F4, 35) (dual of [262176, 261936, 36]-code), using construction X applied to Ce(34) ⊂ Ce(30) based on
- linear OA(4235, 262144, F4, 35) (dual of [262144, 261909, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(4241, 262177, F4, 35) (dual of [262177, 261936, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4240, 131088, F4, 2, 35) (dual of [(131088, 2), 261936, 36]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4240, 87392, F4, 3, 35) (dual of [(87392, 3), 261936, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(4240, 15422, F4, 35, 35) (dual of [(15422, 35), 539530, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |