Information on Result #867143
Linear OOA(2778, 366, F27, 2, 41) (dual of [(366, 2), 654, 42]-NRT-code), using OOA 2-folding based on linear OA(2778, 732, F27, 41) (dual of [732, 654, 42]-code), using
- construction XX applied to C1 = C([727,38]), C2 = C([0,39]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([727,39]) [i] based on
- linear OA(2776, 728, F27, 40) (dual of [728, 652, 41]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,38}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2776, 728, F27, 40) (dual of [728, 652, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2778, 728, F27, 41) (dual of [728, 650, 42]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,39}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2774, 728, F27, 39) (dual of [728, 654, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-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(2798, 394, F27, 2, 41) (dual of [(394, 2), 690, 42]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2799, 404, F27, 2, 41) (dual of [(404, 2), 709, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(27100, 414, F27, 2, 41) (dual of [(414, 2), 728, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(27101, 418, F27, 2, 41) (dual of [(418, 2), 735, 42]-NRT-code) | [i] | ||
| 5 | Linear OOA(27102, 430, F27, 2, 41) (dual of [(430, 2), 758, 42]-NRT-code) | [i] | ||
| 6 | Linear OOA(27103, 434, F27, 2, 41) (dual of [(434, 2), 765, 42]-NRT-code) | [i] | ||
| 7 | Linear OOA(27104, 442, F27, 2, 41) (dual of [(442, 2), 780, 42]-NRT-code) | [i] | ||
| 8 | Linear OOA(27105, 448, F27, 2, 41) (dual of [(448, 2), 791, 42]-NRT-code) | [i] | ||
| 9 | Linear OOA(27106, 450, F27, 2, 41) (dual of [(450, 2), 794, 42]-NRT-code) | [i] | ||
| 10 | Linear OOA(27107, 454, F27, 2, 41) (dual of [(454, 2), 801, 42]-NRT-code) | [i] | ||
| 11 | Linear OOA(27108, 460, F27, 2, 41) (dual of [(460, 2), 812, 42]-NRT-code) | [i] | ||
| 12 | Linear OOA(27109, 462, F27, 2, 41) (dual of [(462, 2), 815, 42]-NRT-code) | [i] | ||