Information on Result #1323499
Linear OA(4256, 1048652, F4, 33) (dual of [1048652, 1048396, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) based on
- linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(415, 75, F4, 7) (dual of [75, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 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(4256, 1048652, F4, 32) (dual of [1048652, 1048396, 33]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4257, 1048653, F4, 33) (dual of [1048653, 1048396, 34]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4258, 1048654, F4, 33) (dual of [1048654, 1048396, 34]-code) | [i] | ||
| 4 | Linear OA(4255, 1048651, F4, 32) (dual of [1048651, 1048396, 33]-code) | [i] | Truncation | |
| 5 | Linear OA(4260, 1048657, F4, 33) (dual of [1048657, 1048397, 34]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(4256, 524326, F4, 2, 33) (dual of [(524326, 2), 1048396, 34]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4256, 349550, F4, 3, 33) (dual of [(349550, 3), 1048394, 34]-NRT-code) | [i] | ||