Information on Result #680493
Linear OA(432, 1030, F4, 9) (dual of [1030, 998, 10]-code), using construction X applied to Ce(8) ⊂ Ce(6) based on
- linear OA(431, 1024, F4, 9) (dual of [1024, 993, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(426, 1024, F4, 7) (dual of [1024, 998, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(432, 518, F4, 2, 9) (dual of [(518, 2), 1004, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(432, 518, F4, 3, 9) (dual of [(518, 3), 1522, 10]-NRT-code) | [i] | ||
| 3 | Digital (23, 32, 518)-net over F4 | [i] | ||
| 4 | Linear OOA(432, 515, F4, 2, 9) (dual of [(515, 2), 998, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(432, 343, F4, 3, 9) (dual of [(343, 3), 997, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(432, 257, F4, 9, 9) (dual of [(257, 9), 2281, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |