Information on Result #674931
Linear OA(3147, 59085, F3, 21) (dual of [59085, 58938, 22]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 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(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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 OOA(3147, 29542, F3, 2, 21) (dual of [(29542, 2), 58937, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3147, 19695, F3, 3, 21) (dual of [(19695, 3), 58938, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3147, 14771, F3, 4, 21) (dual of [(14771, 4), 58937, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3147, 11817, F3, 5, 21) (dual of [(11817, 5), 58938, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(3147, 5908, F3, 21, 21) (dual of [(5908, 21), 123921, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |