Information on Result #680488
Linear OA(447, 1030, F4, 13) (dual of [1030, 983, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(446, 1024, F4, 13) (dual of [1024, 978, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(441, 1024, F4, 11) (dual of [1024, 983, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(447, 531, F4, 2, 13) (dual of [(531, 2), 1015, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(447, 531, F4, 3, 13) (dual of [(531, 3), 1546, 14]-NRT-code) | [i] | ||
| 3 | Digital (34, 47, 531)-net over F4 | [i] | ||
| 4 | Linear OOA(447, 515, F4, 2, 13) (dual of [(515, 2), 983, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(447, 343, F4, 3, 13) (dual of [(343, 3), 982, 14]-NRT-code) | [i] | ||