Information on Result #704688
Linear OA(3144, 762, F3, 35) (dual of [762, 618, 36]-code), using construction XX applied to C1 = C([331,364]), C2 = C([337,365]), C3 = C1 + C2 = C([337,364]), and C∩ = C1 ∩ C2 = C([331,365]) based on
- linear OA(3130, 728, F3, 34) (dual of [728, 598, 35]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,364}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3115, 728, F3, 29) (dual of [728, 613, 30]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,365}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(3136, 728, F3, 35) (dual of [728, 592, 36]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,365}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3109, 728, F3, 28) (dual of [728, 619, 29]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,364}, and designed minimum distance d ≥ |I|+1 = 29 [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(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(3144, 381, F3, 2, 35) (dual of [(381, 2), 618, 36]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3144, 254, F3, 3, 35) (dual of [(254, 3), 618, 36]-NRT-code) | [i] | ||