Information on Result #676513
Linear OA(3203, 736, F3, 52) (dual of [736, 533, 53]-code), using construction X applied to Ce(51) ⊂ Ce(49) based on
- linear OA(3202, 729, F3, 52) (dual of [729, 527, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3196, 729, F3, 50) (dual of [729, 533, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 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 OOA(3203, 368, F3, 2, 52) (dual of [(368, 2), 533, 53]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3203, 245, F3, 3, 52) (dual of [(245, 3), 532, 53]-NRT-code) | [i] | ||
| 3 | Linear OOA(3203, 184, F3, 4, 52) (dual of [(184, 4), 533, 53]-NRT-code) | [i] | ||
| 4 | Linear OOA(3203, 147, F3, 5, 52) (dual of [(147, 5), 532, 53]-NRT-code) | [i] | ||