Information on Result #689402
Linear OA(9125, 59068, F9, 28) (dual of [59068, 58943, 29]-code), using construction X applied to Ce(27) ⊂ Ce(23) based on
- linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(94, 19, F9, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,9)), 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(9124, 59067, F9, 27) (dual of [59067, 58943, 28]-code) | [i] | Truncation | |
| 2 | Linear OOA(9125, 46888, F9, 2, 28) (dual of [(46888, 2), 93651, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9125, 46888, F9, 3, 28) (dual of [(46888, 3), 140539, 29]-NRT-code) | [i] | ||
| 4 | Digital (97, 125, 46888)-net over F9 | [i] | ||
| 5 | Linear OOA(9125, 29534, F9, 2, 28) (dual of [(29534, 2), 58943, 29]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9125, 19689, F9, 3, 28) (dual of [(19689, 3), 58942, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(9125, 4219, F9, 28, 28) (dual of [(4219, 28), 118007, 29]-NRT-code) | [i] | OA Folding and Stacking | |