Information on Result #674920
Linear OA(3217, 59085, F3, 32) (dual of [59085, 58868, 33]-code), using construction X applied to Ce(31) ⊂ Ce(27) based on
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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(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 OA(3218, 59086, F3, 32) (dual of [59086, 58868, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3219, 59087, F3, 32) (dual of [59087, 58868, 33]-code) | [i] | ||
| 3 | Linear OA(3220, 59088, F3, 32) (dual of [59088, 58868, 33]-code) | [i] | ||
| 4 | Linear OA(3221, 59089, F3, 32) (dual of [59089, 58868, 33]-code) | [i] | ||
| 5 | Linear OOA(3217, 29542, F3, 2, 32) (dual of [(29542, 2), 58867, 33]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3217, 19695, F3, 3, 32) (dual of [(19695, 3), 58868, 33]-NRT-code) | [i] | ||
| 7 | Linear OOA(3217, 14771, F3, 4, 32) (dual of [(14771, 4), 58867, 33]-NRT-code) | [i] | ||
| 8 | Linear OOA(3217, 11817, F3, 5, 32) (dual of [(11817, 5), 58868, 33]-NRT-code) | [i] | ||