Information on Result #703867
Linear OA(366, 376, F3, 17) (dual of [376, 310, 18]-code), using construction XX applied to C1 = C([363,13]), C2 = C([1,15]), C3 = C1 + C2 = C([1,13]), and C∩ = C1 ∩ C2 = C([363,15]) based on
- linear OA(361, 364, F3, 15) (dual of [364, 303, 16]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {−1,0,…,13}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(357, 364, F3, 15) (dual of [364, 307, 16]-code), using the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(364, 364, F3, 17) (dual of [364, 300, 18]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {−1,0,…,15}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(354, 364, F3, 13) (dual of [364, 310, 14]-code), using the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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
- 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(366, 188, F3, 2, 17) (dual of [(188, 2), 310, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(366, 125, F3, 3, 17) (dual of [(125, 3), 309, 18]-NRT-code) | [i] | ||