Information on Result #906776
Linear OOA(2723, large, F27, 2, 4), using generalized (u, u+v)-construction based on
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(270, s, F27, 2, 0) for arbitrarily large s, using
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(270, 551881, F27, 2, 0) (dual of [(551881, 2), 1103762, 1]-NRT-code) (see above)
- linear OOA(271, 551881, F27, 2, 1) (dual of [(551881, 2), 1103761, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(271, s, F27, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(271, s, F27, 2, 1) for arbitrarily large s, using
- linear OOA(271, 551881, F27, 2, 1) (dual of [(551881, 2), 1103761, 2]-NRT-code) (see above)
- linear OOA(275, 551881, F27, 2, 2) (dual of [(551881, 2), 1103757, 3]-NRT-code), using
- appending kth column [i] based on linear OA(275, 551881, F27, 2) (dual of [551881, 551876, 3]-code), using
- Hamming code H(5,27) [i]
- appending kth column [i] based on linear OA(275, 551881, F27, 2) (dual of [551881, 551876, 3]-code), using
- linear OOA(2716, 4194301, F27, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2716, 8388602, F27, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(2716, large, F27, 4) (dual of [large, large−16, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(2716, large, F27, 4) (dual of [large, large−16, 5]-code), using
- OOA 2-folding [i] based on linear OA(2716, 8388602, F27, 4) (dual of [8388602, 8388586, 5]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(2723, large, F27, 2, 3) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2725, large, F27, 2, 4) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2727, large, F27, 2, 4) | [i] | ||
| 4 | Linear OOA(2729, large, F27, 2, 4) | [i] | ||
| 5 | Linear OOA(2731, large, F27, 2, 4) | [i] | ||
| 6 | Linear OOA(2733, large, F27, 2, 4) | [i] | ||
| 7 | Linear OOA(2735, large, F27, 2, 4) | [i] | ||
| 8 | Linear OOA(2737, large, F27, 2, 4) | [i] | ||
| 9 | Linear OOA(2739, large, F27, 2, 4) | [i] | ||
| 10 | Linear OOA(2741, large, F27, 2, 4) | [i] | ||
| 11 | Linear OOA(2743, large, F27, 2, 4) | [i] | ||
| 12 | Linear OOA(2745, large, F27, 2, 4) | [i] | ||
| 13 | Linear OOA(2747, large, F27, 2, 4) | [i] | ||
| 14 | Linear OOA(2749, large, F27, 2, 4) | [i] | ||
| 15 | Linear OOA(2751, large, F27, 2, 4) | [i] | ||
| 16 | Linear OOA(2753, large, F27, 2, 4) | [i] | ||
| 17 | Linear OOA(2755, large, F27, 2, 4) | [i] | ||
| 18 | Linear OOA(2757, large, F27, 2, 4) | [i] | ||
| 19 | Linear OOA(2759, large, F27, 2, 4) | [i] | ||
| 20 | Linear OOA(2761, large, F27, 2, 4) | [i] | ||
| 21 | Linear OOA(2763, large, F27, 2, 4) | [i] | ||
| 22 | Linear OOA(2765, large, F27, 2, 4) | [i] | ||
| 23 | Linear OOA(2767, large, F27, 2, 4) | [i] | ||
| 24 | Linear OOA(2769, large, F27, 2, 4) | [i] | ||
| 25 | Linear OOA(2771, large, F27, 2, 4) | [i] | ||
| 26 | Linear OOA(2773, large, F27, 2, 4) | [i] | ||
| 27 | Linear OOA(2775, large, F27, 2, 4) | [i] | ||
| 28 | Linear OOA(2777, large, F27, 2, 4) | [i] | ||
| 29 | Linear OOA(2779, large, F27, 2, 4) | [i] | ||
| 30 | Linear OOA(2781, large, F27, 2, 4) | [i] | ||
| 31 | Linear OOA(2783, large, F27, 2, 4) | [i] | ||
| 32 | Linear OOA(2785, large, F27, 2, 4) | [i] | ||
| 33 | Linear OOA(2787, large, F27, 2, 4) | [i] | ||
| 34 | Linear OOA(2789, large, F27, 2, 4) | [i] | ||
| 35 | Linear OOA(2791, large, F27, 2, 4) | [i] | ||
| 36 | Linear OOA(2793, large, F27, 2, 4) | [i] | ||
| 37 | Linear OOA(2795, large, F27, 2, 4) | [i] | ||
| 38 | Linear OOA(2797, large, F27, 2, 4) | [i] | ||
| 39 | Linear OOA(2799, large, F27, 2, 4) | [i] | ||
| 40 | Linear OOA(27101, large, F27, 2, 4) | [i] | ||
| 41 | Linear OOA(27103, large, F27, 2, 4) | [i] | ||
| 42 | Linear OOA(27105, large, F27, 2, 4) | [i] | ||
| 43 | Linear OOA(27107, large, F27, 2, 4) | [i] | ||
| 44 | Linear OOA(27109, large, F27, 2, 4) | [i] | ||
| 45 | Linear OOA(2724, large, F27, 2, 4) | [i] | OOA Duplication | |
| 46 | Linear OOA(2723, 8388602, F27, 6, 4) (dual of [(8388602, 6), 50331589, 5]-NRT-code) | [i] | OOA Stacking with Additional Row | |