Information on Result #678481
Linear OA(4257, 262208, F4, 36) (dual of [262208, 261951, 37]-code), using construction X applied to Ce(36) ⊂ Ce(28) based on
- linear OA(4244, 262144, F4, 37) (dual of [262144, 261900, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(413, 64, F4, 6) (dual of [64, 51, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
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(4257, 153970, F4, 2, 36) (dual of [(153970, 2), 307683, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4257, 153970, F4, 3, 36) (dual of [(153970, 3), 461653, 37]-NRT-code) | [i] | ||
| 3 | Digital (221, 257, 153970)-net over F4 | [i] | ||
| 4 | Linear OOA(4257, 14567, F4, 36, 36) (dual of [(14567, 36), 524155, 37]-NRT-code) | [i] | OA Folding and Stacking | |