Information on Result #1323670
Linear OA(4206, 65621, F4, 31) (dual of [65621, 65415, 32]-code), using construction X applied to Ce(30) ⊂ Ce(20) based on
- linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(421, 85, F4, 9) (dual of [85, 64, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 86, F4, 9) (dual of [86, 65, 10]-code), using
Mode: 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(4206, 65621, F4, 2, 31) (dual of [(65621, 2), 131036, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4206, 65621, F4, 3, 31) (dual of [(65621, 3), 196657, 32]-NRT-code) | [i] | ||
| 3 | Digital (175, 206, 65621)-net over F4 | [i] | ||
| 4 | Linear OA(4207, 65623, F4, 31) (dual of [65623, 65416, 32]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(4206, 32810, F4, 2, 31) (dual of [(32810, 2), 65414, 32]-NRT-code) | [i] | OOA Folding | |