Information on Result #674871
Linear OA(3111, 59059, F3, 17) (dual of [59059, 58948, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(3111, 59049, F3, 17) (dual of [59049, 58938, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3112, 59060, F3, 17) (dual of [59060, 58948, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3113, 59061, F3, 17) (dual of [59061, 58948, 18]-code) | [i] | ||
| 3 | Linear OA(3114, 59062, F3, 17) (dual of [59062, 58948, 18]-code) | [i] | ||
| 4 | Linear OOA(3111, 29529, F3, 2, 17) (dual of [(29529, 2), 58947, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3111, 19686, F3, 3, 17) (dual of [(19686, 3), 58947, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(3111, 14764, F3, 4, 17) (dual of [(14764, 4), 58945, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(3111, 11811, F3, 5, 17) (dual of [(11811, 5), 58944, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(3111, 7382, F3, 17, 17) (dual of [(7382, 17), 125383, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |