Information on Result #704417
Linear OA(3118, 782, F3, 26) (dual of [782, 664, 27]-code), using construction XX applied to C1 = C([343,363]), C2 = C([349,368]), C3 = C1 + C2 = C([349,363]), and C∩ = C1 ∩ C2 = C([343,368]) based on
- linear OA(384, 728, F3, 21) (dual of [728, 644, 22]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {343,344,…,363}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(379, 728, F3, 20) (dual of [728, 649, 21]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {349,350,…,368}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3103, 728, F3, 26) (dual of [728, 625, 27]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {343,344,…,368}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(360, 728, F3, 15) (dual of [728, 668, 16]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {349,350,…,363}, and designed minimum distance d ≥ |I|+1 = 16 [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(3118, 391, F3, 2, 26) (dual of [(391, 2), 664, 27]-NRT-code) | [i] | OOA Folding | |