Information on Result #678375
Linear OA(429, 262154, F4, 5) (dual of [262154, 262125, 6]-code), using construction X applied to Ce(4) ⊂ Ce(2) based on
- 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(419, 262144, F4, 3) (dual of [262144, 262125, 4]-code or 262144-cap in PG(18,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(41, 10, F4, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(429, 252050, F4, 2, 5) (dual of [(252050, 2), 504071, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(429, 252050, F4, 3, 5) (dual of [(252050, 3), 756121, 6]-NRT-code) | [i] | ||
| 3 | Digital (24, 29, 252050)-net over F4 | [i] | ||
| 4 | Linear OOA(429, 131077, F4, 2, 5) (dual of [(131077, 2), 262125, 6]-NRT-code) | [i] | OOA Folding | |