Information on Result #674525
Linear OA(3170, 531454, F3, 22) (dual of [531454, 531284, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- 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(3157, 531441, F3, 20) (dual of [531441, 531284, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(3171, 531455, F3, 22) (dual of [531455, 531284, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3172, 531456, F3, 22) (dual of [531456, 531284, 23]-code) | [i] | ||
| 3 | Linear OA(3169, 531453, F3, 21) (dual of [531453, 531284, 22]-code) | [i] | Truncation | |
| 4 | Linear OOA(3170, 265727, F3, 2, 22) (dual of [(265727, 2), 531284, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3170, 177151, F3, 3, 22) (dual of [(177151, 3), 531283, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(3170, 132863, F3, 4, 22) (dual of [(132863, 4), 531282, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(3170, 106290, F3, 5, 22) (dual of [(106290, 5), 531280, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(3170, 48314, F3, 22, 22) (dual of [(48314, 22), 1062738, 23]-NRT-code) | [i] | OA Folding and Stacking | |