Information on Result #662269
Linear OA(4240, 65562, F4, 37) (dual of [65562, 65322, 38]-code), using (u, u+v)-construction based on
- linear OA(423, 26, F4, 18) (dual of [26, 3, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(423, 27, F4, 18) (dual of [27, 4, 19]-code), using
- 1 times truncation [i] based on linear OA(424, 28, F4, 19) (dual of [28, 4, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(423, 27, F4, 18) (dual of [27, 4, 19]-code), using
- linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(4240, 59862, F4, 2, 37) (dual of [(59862, 2), 119484, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4240, 59862, F4, 3, 37) (dual of [(59862, 3), 179346, 38]-NRT-code) | [i] | ||
| 3 | Digital (203, 240, 59862)-net over F4 | [i] | ||