Information on Result #674861
Linear OA(3191, 59059, F3, 29) (dual of [59059, 58868, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) based on
- 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(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(3192, 59060, F3, 29) (dual of [59060, 58868, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3193, 59061, F3, 29) (dual of [59061, 58868, 30]-code) | [i] | ||
| 3 | Linear OA(3194, 59062, F3, 29) (dual of [59062, 58868, 30]-code) | [i] | ||
| 4 | Linear OOA(3191, 29529, F3, 2, 29) (dual of [(29529, 2), 58867, 30]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3191, 19686, F3, 3, 29) (dual of [(19686, 3), 58867, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(3191, 14764, F3, 4, 29) (dual of [(14764, 4), 58865, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(3191, 11811, F3, 5, 29) (dual of [(11811, 5), 58864, 30]-NRT-code) | [i] | ||
| 8 | Linear OOA(3191, 4218, F3, 29, 29) (dual of [(4218, 29), 122131, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |