Information on Result #680477
Linear OA(492, 1030, F4, 25) (dual of [1030, 938, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) based on
- linear OA(491, 1024, F4, 25) (dual of [1024, 933, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(41, 6, F4, 1) (dual of [6, 5, 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(492, 741, F4, 2, 25) (dual of [(741, 2), 1390, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(492, 741, F4, 3, 25) (dual of [(741, 3), 2131, 26]-NRT-code) | [i] | ||
| 3 | Digital (67, 92, 741)-net over F4 | [i] | ||
| 4 | Linear OOA(492, 515, F4, 2, 25) (dual of [(515, 2), 938, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(492, 343, F4, 3, 25) (dual of [(343, 3), 937, 26]-NRT-code) | [i] | ||