Information on Result #705763
Linear OA(3214, 740, F3, 54) (dual of [740, 526, 55]-code), using construction XX applied to C1 = C([727,51]), C2 = C([0,52]), C3 = C1 + C2 = C([0,51]), and C∩ = C1 ∩ C2 = C([727,52]) based on
- linear OA(3208, 728, F3, 53) (dual of [728, 520, 54]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−1,0,…,51}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(3208, 728, F3, 53) (dual of [728, 520, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(3214, 728, F3, 54) (dual of [728, 514, 55]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−1,0,…,52}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(3202, 728, F3, 52) (dual of [728, 526, 53]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53 [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
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code) (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(3214, 370, F3, 2, 54) (dual of [(370, 2), 526, 55]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3214, 246, F3, 3, 54) (dual of [(246, 3), 524, 55]-NRT-code) | [i] | ||
| 3 | Linear OOA(3214, 185, F3, 4, 54) (dual of [(185, 4), 526, 55]-NRT-code) | [i] | ||
| 4 | Linear OOA(3214, 148, F3, 5, 54) (dual of [(148, 5), 526, 55]-NRT-code) | [i] | ||