Information on Result #705262
Linear OA(3199, 782, F3, 47) (dual of [782, 583, 48]-code), using construction XX applied to C1 = C([322,363]), C2 = C([328,368]), C3 = C1 + C2 = C([328,363]), and C∩ = C1 ∩ C2 = C([322,368]) based on
- linear OA(3165, 728, F3, 42) (dual of [728, 563, 43]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {322,323,…,363}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3160, 728, F3, 41) (dual of [728, 568, 42]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {328,329,…,368}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3184, 728, F3, 47) (dual of [728, 544, 48]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {322,323,…,368}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3141, 728, F3, 36) (dual of [728, 587, 37]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {328,329,…,363}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- 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]
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(3199, 391, F3, 2, 47) (dual of [(391, 2), 583, 48]-NRT-code) | [i] | OOA Folding | |