Information on Result #674868
Linear OA(3131, 59059, F3, 20) (dual of [59059, 58928, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(3132, 59060, F3, 20) (dual of [59060, 58928, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3133, 59061, F3, 20) (dual of [59061, 58928, 21]-code) | [i] | ||
| 3 | Linear OA(3134, 59062, F3, 20) (dual of [59062, 58928, 21]-code) | [i] | ||
| 4 | Linear OOA(3131, 29529, F3, 2, 20) (dual of [(29529, 2), 58927, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3131, 19686, F3, 3, 20) (dual of [(19686, 3), 58927, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(3131, 14764, F3, 4, 20) (dual of [(14764, 4), 58925, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(3131, 11811, F3, 5, 20) (dual of [(11811, 5), 58924, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(3131, 5905, F3, 20, 20) (dual of [(5905, 20), 117969, 21]-NRT-code) | [i] | OA Folding and Stacking | |