Information on Result #1323658
Linear OA(4180, 65611, F4, 27) (dual of [65611, 65431, 28]-code), using construction X applied to Ce(26) ⊂ Ce(17) based on
- linear OA(4161, 65536, F4, 27) (dual of [65536, 65375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(419, 75, F4, 8) (dual of [75, 56, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(419, 87, F4, 8) (dual of [87, 68, 9]-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(4180, 65611, F4, 2, 27) (dual of [(65611, 2), 131042, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4180, 65611, F4, 3, 27) (dual of [(65611, 3), 196653, 28]-NRT-code) | [i] | ||
| 3 | Digital (153, 180, 65611)-net over F4 | [i] | ||
| 4 | Linear OOA(4180, 32805, F4, 2, 27) (dual of [(32805, 2), 65430, 28]-NRT-code) | [i] | OOA Folding | |