Information on Result #674519
Linear OA(3229, 531453, F3, 29) (dual of [531453, 531224, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) 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(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(30, 12, F3, 0) (dual of [12, 12, 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(3230, 531454, F3, 29) (dual of [531454, 531224, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3231, 531455, F3, 29) (dual of [531455, 531224, 30]-code) | [i] | ||
| 3 | Linear OA(3232, 531456, F3, 29) (dual of [531456, 531224, 30]-code) | [i] | ||
| 4 | Linear OOA(3229, 265726, F3, 2, 29) (dual of [(265726, 2), 531223, 30]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3229, 177151, F3, 3, 29) (dual of [(177151, 3), 531224, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(3229, 132863, F3, 4, 29) (dual of [(132863, 4), 531223, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(3229, 106290, F3, 5, 29) (dual of [(106290, 5), 531221, 30]-NRT-code) | [i] | ||