Information on Result #676553
Linear OA(3245, 745, F3, 64) (dual of [745, 500, 65]-code), using construction X applied to Ce(63) ⊂ Ce(60) based on
- linear OA(3241, 729, F3, 64) (dual of [729, 488, 65]-code), using an extension Ce(63) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [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(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-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(3245, 149, F3, 5, 64) (dual of [(149, 5), 500, 65]-NRT-code) | [i] | OOA Folding | |