Information on Result #676307
Linear OA(3237, 1116, F3, 51) (dual of [1116, 879, 52]-code), using construction XX applied to Ce(51) ⊂ Ce(48) ⊂ Ce(46) 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(3218, 1094, F3, 49) (dual of [1094, 876, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3211, 1094, F3, 47) (dual of [1094, 883, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(31, 18, F3, 1) (dual of [18, 17, 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
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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 (see above)
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(3237, 558, F3, 2, 51) (dual of [(558, 2), 879, 52]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3237, 372, F3, 3, 51) (dual of [(372, 3), 879, 52]-NRT-code) | [i] | ||