Information on Result #678499
Linear OA(4190, 262216, F4, 26) (dual of [262216, 262026, 27]-code), using construction X applied to Ce(25) ⊂ Ce(17) based on
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(418, 72, F4, 7) (dual of [72, 54, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-code), 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(4190, 180060, F4, 2, 26) (dual of [(180060, 2), 359930, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4190, 180060, F4, 3, 26) (dual of [(180060, 3), 539990, 27]-NRT-code) | [i] | ||
| 3 | Digital (164, 190, 180060)-net over F4 | [i] | ||
| 4 | Linear OOA(4190, 131108, F4, 2, 26) (dual of [(131108, 2), 262026, 27]-NRT-code) | [i] | OOA Folding | |