Information on Result #736992
Linear OA(3164, 6604, F3, 29) (dual of [6604, 6440, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3121, 6561, F3, 23) (dual of [6561, 6440, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(311, 43, F3, 5) (dual of [43, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-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 OA(3166, 6606, F3, 29) (dual of [6606, 6440, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3164, 3302, F3, 2, 29) (dual of [(3302, 2), 6440, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3164, 2201, F3, 3, 29) (dual of [(2201, 3), 6439, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3164, 1651, F3, 4, 29) (dual of [(1651, 4), 6440, 30]-NRT-code) | [i] | ||