Information on Result #689226
Linear OA(985, 531477, F9, 15) (dual of [531477, 531392, 16]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
- linear OA(979, 531441, F9, 15) (dual of [531441, 531362, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(949, 531441, F9, 10) (dual of [531441, 531392, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(96, 36, F9, 4) (dual of [36, 30, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 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 OOA(985, 531477, F9, 2, 15) (dual of [(531477, 2), 1062869, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(985, 531477, F9, 3, 15) (dual of [(531477, 3), 1594346, 16]-NRT-code) | [i] | ||
| 3 | Digital (70, 85, 531477)-net over F9 | [i] | ||
| 4 | Linear OOA(985, 265738, F9, 2, 15) (dual of [(265738, 2), 531391, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(985, 177159, F9, 3, 15) (dual of [(177159, 3), 531392, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(985, 75925, F9, 15, 15) (dual of [(75925, 15), 1138790, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |