Information on Result #1323600
Linear OA(4106, 65578, F4, 17) (dual of [65578, 65472, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
- linear OA(497, 65537, F4, 17) (dual of [65537, 65440, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 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(49, 41, F4, 5) (dual of [41, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-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(4108, 65581, F4, 17) (dual of [65581, 65473, 18]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4106, 32789, F4, 2, 17) (dual of [(32789, 2), 65472, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4106, 21859, F4, 3, 17) (dual of [(21859, 3), 65471, 18]-NRT-code) | [i] | ||