Information on Result #674858
Linear OA(3211, 59059, F3, 32) (dual of [59059, 58848, 33]-code), using construction X applied to Ce(31) ⊂ Ce(30) based on
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3201, 59049, F3, 31) (dual of [59049, 58848, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(30, 10, F3, 0) (dual of [10, 10, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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(3212, 59060, F3, 32) (dual of [59060, 58848, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3213, 59061, F3, 32) (dual of [59061, 58848, 33]-code) | [i] | ||
| 3 | Linear OA(3214, 59062, F3, 32) (dual of [59062, 58848, 33]-code) | [i] | ||
| 4 | Linear OOA(3211, 29529, F3, 2, 32) (dual of [(29529, 2), 58847, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3211, 19686, F3, 3, 32) (dual of [(19686, 3), 58847, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(3211, 14764, F3, 4, 32) (dual of [(14764, 4), 58845, 33]-NRT-code) | [i] | ||
| 7 | Linear OOA(3211, 11811, F3, 5, 32) (dual of [(11811, 5), 58844, 33]-NRT-code) | [i] | ||
| 8 | Linear OOA(3211, 3691, F3, 32, 32) (dual of [(3691, 32), 117901, 33]-NRT-code) | [i] | OA Folding and Stacking | |