Information on Result #704191
Linear OA(368, 760, F3, 15) (dual of [760, 692, 16]-code), using construction XX applied to C1 = C([724,9]), C2 = C([1,10]), C3 = C1 + C2 = C([1,9]), and C∩ = C1 ∩ C2 = C([724,10]) based on
- linear OA(355, 728, F3, 14) (dual of [728, 673, 15]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−4,−3,…,9}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(342, 728, F3, 10) (dual of [728, 686, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(361, 728, F3, 15) (dual of [728, 667, 16]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−4,−3,…,10}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(336, 728, F3, 9) (dual of [728, 692, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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 OOA(368, 380, F3, 2, 15) (dual of [(380, 2), 692, 16]-NRT-code) | [i] | OOA Folding | |