Information on Result #1101521
Linear OOA(3196, 1677720, F3, 5, 20) (dual of [(1677720, 5), 8388404, 21]-NRT-code), using OOA 5-folding based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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(3201, 1677721, F3, 5, 20) (dual of [(1677721, 5), 8388404, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3197, 1677720, F3, 5, 20) (dual of [(1677720, 5), 8388403, 21]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3198, 1677720, F3, 5, 20) (dual of [(1677720, 5), 8388402, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3199, 1677720, F3, 5, 20) (dual of [(1677720, 5), 8388401, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(3200, 1677720, F3, 5, 20) (dual of [(1677720, 5), 8388400, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(3206, 1677724, F3, 5, 20) (dual of [(1677724, 5), 8388414, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(3207, 1677727, F3, 5, 20) (dual of [(1677727, 5), 8388428, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(3208, 1677728, F3, 5, 20) (dual of [(1677728, 5), 8388432, 21]-NRT-code) | [i] | ||
| 9 | Linear OOA(3209, 1677730, F3, 5, 20) (dual of [(1677730, 5), 8388441, 21]-NRT-code) | [i] | ||
| 10 | Linear OOA(3210, 1677732, F3, 5, 20) (dual of [(1677732, 5), 8388450, 21]-NRT-code) | [i] | ||
| 11 | Linear OOA(3211, 1677735, F3, 5, 20) (dual of [(1677735, 5), 8388464, 21]-NRT-code) | [i] | ||
| 12 | Linear OOA(3212, 1677736, F3, 5, 20) (dual of [(1677736, 5), 8388468, 21]-NRT-code) | [i] | ||
| 13 | Linear OOA(3213, 1677738, F3, 5, 20) (dual of [(1677738, 5), 8388477, 21]-NRT-code) | [i] | ||
| 14 | Linear OOA(3214, 1677740, F3, 5, 20) (dual of [(1677740, 5), 8388486, 21]-NRT-code) | [i] | ||
| 15 | Linear OOA(3215, 1677741, F3, 5, 20) (dual of [(1677741, 5), 8388490, 21]-NRT-code) | [i] | ||
| 16 | Linear OOA(3216, 1677743, F3, 5, 20) (dual of [(1677743, 5), 8388499, 21]-NRT-code) | [i] | ||
| 17 | Linear OOA(3217, 1677745, F3, 5, 20) (dual of [(1677745, 5), 8388508, 21]-NRT-code) | [i] | ||
| 18 | Linear OOA(3218, 1677752, F3, 5, 20) (dual of [(1677752, 5), 8388542, 21]-NRT-code) | [i] | ||
| 19 | Linear OOA(3220, 1677760, F3, 5, 20) (dual of [(1677760, 5), 8388580, 21]-NRT-code) | [i] | ||
| 20 | Linear OOA(3222, 1677776, F3, 5, 20) (dual of [(1677776, 5), 8388658, 21]-NRT-code) | [i] | ||
| 21 | Linear OOA(3224, 1677780, F3, 5, 20) (dual of [(1677780, 5), 8388676, 21]-NRT-code) | [i] | ||
| 22 | Linear OOA(3226, 1677804, F3, 5, 20) (dual of [(1677804, 5), 8388794, 21]-NRT-code) | [i] | ||
| 23 | Linear OOA(3229, 1677834, F3, 5, 20) (dual of [(1677834, 5), 8388941, 21]-NRT-code) | [i] | ||
| 24 | Linear OOA(3232, 1677864, F3, 5, 20) (dual of [(1677864, 5), 8389088, 21]-NRT-code) | [i] | ||
| 25 | Linear OOA(3233, 1677865, F3, 5, 20) (dual of [(1677865, 5), 8389092, 21]-NRT-code) | [i] | ||
| 26 | Linear OOA(3234, 1677884, F3, 5, 20) (dual of [(1677884, 5), 8389186, 21]-NRT-code) | [i] | ||
| 27 | Linear OOA(3236, 1678048, F3, 5, 20) (dual of [(1678048, 5), 8390004, 21]-NRT-code) | [i] | ||
| 28 | Linear OOA(3239, 1678157, F3, 5, 20) (dual of [(1678157, 5), 8390546, 21]-NRT-code) | [i] | ||
| 29 | Linear OOA(3240, 1678159, F3, 5, 20) (dual of [(1678159, 5), 8390555, 21]-NRT-code) | [i] | ||
| 30 | Linear OOA(3242, 1678160, F3, 5, 20) (dual of [(1678160, 5), 8390558, 21]-NRT-code) | [i] | ||
| 31 | Linear OOA(3243, 1678161, F3, 5, 20) (dual of [(1678161, 5), 8390562, 21]-NRT-code) | [i] | ||
| 32 | Linear OOA(3244, 1678376, F3, 5, 20) (dual of [(1678376, 5), 8391636, 21]-NRT-code) | [i] | ||
| 33 | Linear OOA(3245, 1679032, F3, 5, 20) (dual of [(1679032, 5), 8394915, 21]-NRT-code) | [i] | ||
| 34 | Linear OOA(3246, 1679034, F3, 5, 20) (dual of [(1679034, 5), 8394924, 21]-NRT-code) | [i] | ||
| 35 | Linear OOA(3249, 1679036, F3, 5, 20) (dual of [(1679036, 5), 8394931, 21]-NRT-code) | [i] | ||
| 36 | Linear OOA(3250, 1679688, F3, 5, 20) (dual of [(1679688, 5), 8398190, 21]-NRT-code) | [i] | ||