Information on Result #676262
Linear OA(3233, 1102, F3, 52) (dual of [1102, 869, 53]-code), using construction X applied to Ce(51) ⊂ Ce(49) based on
- linear OA(3232, 1094, F3, 52) (dual of [1094, 862, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3225, 1094, F3, 50) (dual of [1094, 869, 51]-code), using an extension Ce(49) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 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 OA(3232, 1101, F3, 51) (dual of [1101, 869, 52]-code) | [i] | Truncation | |
| 2 | Linear OOA(3233, 551, F3, 2, 52) (dual of [(551, 2), 869, 53]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3233, 367, F3, 3, 52) (dual of [(367, 3), 868, 53]-NRT-code) | [i] | ||