Information on Result #674860
Linear OA(3202, 59060, F3, 31) (dual of [59060, 58858, 32]-code), using construction X applied to Ce(30) ⊂ Ce(28) based on
- 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(3191, 59049, F3, 29) (dual of [59049, 58858, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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 OA(3203, 59061, F3, 31) (dual of [59061, 58858, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3204, 59062, F3, 31) (dual of [59062, 58858, 32]-code) | [i] | ||
| 3 | Linear OA(3201, 59059, F3, 30) (dual of [59059, 58858, 31]-code) | [i] | Truncation | |
| 4 | Linear OOA(3202, 29530, F3, 2, 31) (dual of [(29530, 2), 58858, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3202, 19686, F3, 3, 31) (dual of [(19686, 3), 58856, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(3202, 14765, F3, 4, 31) (dual of [(14765, 4), 58858, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(3202, 11812, F3, 5, 31) (dual of [(11812, 5), 58858, 32]-NRT-code) | [i] | ||
| 8 | Linear OOA(3202, 3937, F3, 31, 31) (dual of [(3937, 31), 121845, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |