Information on Result #676504
Linear OA(3235, 735, F3, 62) (dual of [735, 500, 63]-code), using construction X applied to Ce(61) ⊂ Ce(60) based on
- linear OA(3235, 729, F3, 62) (dual of [729, 494, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(3229, 729, F3, 61) (dual of [729, 500, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(30, 6, F3, 0) (dual of [6, 6, 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 OOA(3235, 367, F3, 2, 62) (dual of [(367, 2), 499, 63]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3235, 245, F3, 3, 62) (dual of [(245, 3), 500, 63]-NRT-code) | [i] | ||
| 3 | Linear OOA(3235, 183, F3, 4, 62) (dual of [(183, 4), 497, 63]-NRT-code) | [i] | ||