Information on Result #1323635
Linear OA(4191, 65598, F4, 30) (dual of [65598, 65407, 31]-code), using construction X applied to Ce(29) ⊂ Ce(21) based on
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(414, 62, F4, 7) (dual of [62, 48, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- a “GraXX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-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 OA(4192, 65599, F4, 30) (dual of [65599, 65407, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4193, 65601, F4, 30) (dual of [65601, 65408, 31]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(4194, 65603, F4, 30) (dual of [65603, 65409, 31]-code) | [i] | ||
| 4 | Linear OA(4195, 65605, F4, 30) (dual of [65605, 65410, 31]-code) | [i] | ||
| 5 | Linear OOA(4191, 32799, F4, 2, 30) (dual of [(32799, 2), 65407, 31]-NRT-code) | [i] | OOA Folding | |