Information on Result #680542
Linear OA(499, 1037, F4, 26) (dual of [1037, 938, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(496, 1024, F4, 26) (dual of [1024, 928, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(486, 1024, F4, 23) (dual of [1024, 938, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(43, 13, F4, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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 OOA(499, 921, F4, 2, 26) (dual of [(921, 2), 1743, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(499, 921, F4, 3, 26) (dual of [(921, 3), 2664, 27]-NRT-code) | [i] | ||
| 3 | Digital (73, 99, 921)-net over F4 | [i] | ||