Information on Result #1304986
Linear OA(3160, 790, F3, 39) (dual of [790, 630, 40]-code), using 44 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 7 times 0, 1, 12 times 0, 1, 15 times 0) based on linear OA(3154, 740, F3, 39) (dual of [740, 586, 40]-code), using
- construction XX applied to C1 = C([727,36]), C2 = C([0,37]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([727,37]) [i] based on
- linear OA(3148, 728, F3, 38) (dual of [728, 580, 39]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−1,0,…,36}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(3148, 728, F3, 38) (dual of [728, 580, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(3154, 728, F3, 39) (dual of [728, 574, 40]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−1,0,…,37}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3142, 728, F3, 37) (dual of [728, 586, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [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: 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(3160, 790, F3, 2, 39) (dual of [(790, 2), 1420, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3160, 790, F3, 3, 39) (dual of [(790, 3), 2210, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3160, 790, F3, 4, 39) (dual of [(790, 4), 3000, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3160, 790, F3, 5, 39) (dual of [(790, 5), 3790, 40]-NRT-code) | [i] | ||
| 5 | Digital (121, 160, 790)-net over F3 | [i] | ||