Information on Result #689357
Linear OA(931, 59054, F9, 7) (dual of [59054, 59023, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(931, 59049, F9, 7) (dual of [59049, 59018, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(926, 59049, F9, 6) (dual of [59049, 59023, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-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 OA(935, 59136, F9, 7) (dual of [59136, 59101, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(936, 59266, F9, 7) (dual of [59266, 59230, 8]-code) | [i] | ||
| 3 | Linear OOA(931, 59054, F9, 2, 7) (dual of [(59054, 2), 118077, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(931, 59054, F9, 3, 7) (dual of [(59054, 3), 177131, 8]-NRT-code) | [i] | ||
| 5 | Digital (24, 31, 59054)-net over F9 | [i] | ||
| 6 | Linear OOA(931, 29527, F9, 2, 7) (dual of [(29527, 2), 59023, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(931, 19684, F9, 3, 7) (dual of [(19684, 3), 59021, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(931, 19684, F9, 7, 7) (dual of [(19684, 7), 137757, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |