Information on Result #678980
Linear OA(492, 16420, F4, 16) (dual of [16420, 16328, 17]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
- linear OA(485, 16385, F4, 17) (dual of [16385, 16300, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(457, 16385, F4, 11) (dual of [16385, 16328, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), 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 OA(493, 16421, F4, 16) (dual of [16421, 16328, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(492, 16420, F4, 2, 16) (dual of [(16420, 2), 32748, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(492, 16420, F4, 3, 16) (dual of [(16420, 3), 49168, 17]-NRT-code) | [i] | ||
| 4 | Digital (76, 92, 16420)-net over F4 | [i] | ||
| 5 | Linear OA(493, 16422, F4, 16) (dual of [16422, 16329, 17]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(494, 16424, F4, 16) (dual of [16424, 16330, 17]-code) | [i] | ||
| 7 | Linear OOA(492, 8210, F4, 2, 16) (dual of [(8210, 2), 16328, 17]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(492, 5473, F4, 3, 16) (dual of [(5473, 3), 16327, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(492, 2052, F4, 16, 16) (dual of [(2052, 16), 32740, 17]-NRT-code) | [i] | OA Folding and Stacking | |