Information on Result #736854
Linear OA(3244, 531516, F3, 29) (dual of [531516, 531272, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
- linear OA(3229, 531441, F3, 29) (dual of [531441, 531212, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(315, 75, F3, 6) (dual of [75, 60, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), 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(3246, 531518, F3, 29) (dual of [531518, 531272, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3247, 531519, F3, 29) (dual of [531519, 531272, 30]-code) | [i] | ||
| 3 | Linear OOA(3244, 265758, F3, 2, 29) (dual of [(265758, 2), 531272, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3244, 177172, F3, 3, 29) (dual of [(177172, 3), 531272, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(3244, 132879, F3, 4, 29) (dual of [(132879, 4), 531272, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(3244, 106303, F3, 5, 29) (dual of [(106303, 5), 531271, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(3244, 37965, F3, 29, 29) (dual of [(37965, 29), 1100741, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |