Information on Result #678556
Linear OA(466, 65554, F4, 11) (dual of [65554, 65488, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,4]) based on
- linear OA(465, 65537, F4, 11) (dual of [65537, 65472, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(449, 65537, F4, 9) (dual of [65537, 65488, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(41, 17, F4, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(466, 32777, F4, 2, 11) (dual of [(32777, 2), 65488, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(466, 21851, F4, 3, 11) (dual of [(21851, 3), 65487, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(466, 13110, F4, 11, 11) (dual of [(13110, 11), 144144, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |