Information on Result #703884
Linear OA(378, 379, F3, 20) (dual of [379, 301, 21]-code), using construction XX applied to C1 = C([363,16]), C2 = C([1,18]), C3 = C1 + C2 = C([1,16]), and C∩ = C1 ∩ C2 = C([363,18]) based on
- linear OA(370, 364, F3, 18) (dual of [364, 294, 19]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(369, 364, F3, 18) (dual of [364, 295, 19]-code), using the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(376, 364, F3, 20) (dual of [364, 288, 21]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(363, 364, F3, 16) (dual of [364, 301, 17]-code), using the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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, 7, F3, 1) (dual of [7, 6, 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(378, 189, F3, 2, 20) (dual of [(189, 2), 300, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(378, 126, F3, 3, 20) (dual of [(126, 3), 300, 21]-NRT-code) | [i] | ||