Information on Result #689366
Linear OA(9137, 59060, F9, 31) (dual of [59060, 58923, 32]-code), using construction X applied to Ce(30) ⊂ Ce(28) based on
- linear OA(9136, 59049, F9, 31) (dual of [59049, 58913, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(9126, 59049, F9, 29) (dual of [59049, 58923, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 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(9137, 43544, F9, 2, 31) (dual of [(43544, 2), 86951, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9137, 43544, F9, 3, 31) (dual of [(43544, 3), 130495, 32]-NRT-code) | [i] | ||
| 3 | Digital (106, 137, 43544)-net over F9 | [i] | ||
| 4 | Linear OOA(9137, 29530, F9, 2, 31) (dual of [(29530, 2), 58923, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9137, 19686, F9, 3, 31) (dual of [(19686, 3), 58921, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(9137, 3937, F9, 31, 31) (dual of [(3937, 31), 121910, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |