Information on Result #678725
Linear OA(4232, 65575, F4, 38) (dual of [65575, 65343, 39]-code), using construction X applied to Ce(37) ⊂ Ce(32) based on
- linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 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(4233, 65576, F4, 38) (dual of [65576, 65343, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4234, 65577, F4, 38) (dual of [65577, 65343, 39]-code) | [i] | ||
| 3 | Linear OA(4235, 65578, F4, 38) (dual of [65578, 65343, 39]-code) | [i] | ||
| 4 | Linear OA(4236, 65579, F4, 38) (dual of [65579, 65343, 39]-code) | [i] | ||
| 5 | Linear OA(4237, 65580, F4, 38) (dual of [65580, 65343, 39]-code) | [i] | ||
| 6 | Linear OOA(4232, 34711, F4, 2, 38) (dual of [(34711, 2), 69190, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(4232, 34711, F4, 3, 38) (dual of [(34711, 3), 103901, 39]-NRT-code) | [i] | ||
| 8 | Digital (194, 232, 34711)-net over F4 | [i] | ||
| 9 | Linear OA(4236, 65580, F4, 38) (dual of [65580, 65344, 39]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OA(4237, 65582, F4, 38) (dual of [65582, 65345, 39]-code) | [i] | ||
| 11 | Linear OOA(4232, 32787, F4, 2, 38) (dual of [(32787, 2), 65342, 39]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(4232, 21858, F4, 3, 38) (dual of [(21858, 3), 65342, 39]-NRT-code) | [i] | ||
| 13 | Linear OOA(4232, 3451, F4, 38, 38) (dual of [(3451, 38), 130906, 39]-NRT-code) | [i] | OA Folding and Stacking | |