Information on Result #674602
Linear OA(3226, 531498, F3, 27) (dual of [531498, 531272, 28]-code), using construction X applied to Ce(27) ⊂ Ce(21) based on
- 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(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(39, 57, F3, 4) (dual of [57, 48, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-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 OOA(3226, 265749, F3, 2, 27) (dual of [(265749, 2), 531272, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3226, 177166, F3, 3, 27) (dual of [(177166, 3), 531272, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(3226, 132874, F3, 4, 27) (dual of [(132874, 4), 531270, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3226, 106299, F3, 5, 27) (dual of [(106299, 5), 531269, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(3226, 40884, F3, 27, 27) (dual of [(40884, 27), 1103642, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |