Information on Result #705823
Linear OA(3246, 776, F3, 61) (dual of [776, 530, 62]-code), using construction XX applied to C1 = C([340,394]), C2 = C([334,388]), C3 = C1 + C2 = C([340,388]), and C∩ = C1 ∩ C2 = C([334,394]) based on
- linear OA(3214, 728, F3, 55) (dual of [728, 514, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,394}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3214, 728, F3, 55) (dual of [728, 514, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,388}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3229, 728, F3, 61) (dual of [728, 499, 62]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,394}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(3193, 728, F3, 49) (dual of [728, 535, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,388}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(38, 24, F3, 5) (dual of [24, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- linear OA(38, 24, F3, 5) (dual of [24, 16, 6]-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(3246, 388, F3, 2, 61) (dual of [(388, 2), 530, 62]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3246, 194, F3, 4, 61) (dual of [(194, 4), 530, 62]-NRT-code) | [i] | ||