Information on Result #689415
Linear OA(969, 59067, F9, 15) (dual of [59067, 58998, 16]-code), using construction X applied to Ce(14) ⊂ Ce(11) based on
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(93, 18, F9, 2) (dual of [18, 15, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 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(969, 59067, F9, 2, 15) (dual of [(59067, 2), 118065, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(969, 59067, F9, 3, 15) (dual of [(59067, 3), 177132, 16]-NRT-code) | [i] | ||
| 3 | Digital (54, 69, 59067)-net over F9 | [i] | ||
| 4 | Linear OOA(969, 29533, F9, 2, 15) (dual of [(29533, 2), 58997, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(969, 19689, F9, 3, 15) (dual of [(19689, 3), 58998, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(969, 8438, F9, 15, 15) (dual of [(8438, 15), 126501, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |