Information on Result #1101259
Linear OOA(3166, 1677720, F3, 5, 17) (dual of [(1677720, 5), 8388434, 18]-NRT-code), using OOA 5-folding based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(3171, 1677721, F3, 5, 17) (dual of [(1677721, 5), 8388434, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3167, 1677720, F3, 5, 17) (dual of [(1677720, 5), 8388433, 18]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3168, 1677720, F3, 5, 17) (dual of [(1677720, 5), 8388432, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(3169, 1677720, F3, 5, 17) (dual of [(1677720, 5), 8388431, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(3170, 1677720, F3, 5, 17) (dual of [(1677720, 5), 8388430, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(3174, 1677724, F3, 5, 17) (dual of [(1677724, 5), 8388446, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(3175, 1677727, F3, 5, 17) (dual of [(1677727, 5), 8388460, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(3176, 1677728, F3, 5, 17) (dual of [(1677728, 5), 8388464, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(3177, 1677731, F3, 5, 17) (dual of [(1677731, 5), 8388478, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(3178, 1677734, F3, 5, 17) (dual of [(1677734, 5), 8388492, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(3179, 1677737, F3, 5, 17) (dual of [(1677737, 5), 8388506, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(3180, 1677742, F3, 5, 17) (dual of [(1677742, 5), 8388530, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(3184, 1677752, F3, 5, 17) (dual of [(1677752, 5), 8388576, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(3186, 1677760, F3, 5, 17) (dual of [(1677760, 5), 8388614, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(3187, 1677764, F3, 5, 17) (dual of [(1677764, 5), 8388633, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(3188, 1677776, F3, 5, 17) (dual of [(1677776, 5), 8388692, 18]-NRT-code) | [i] | ||
| 17 | Linear OOA(3190, 1677804, F3, 5, 17) (dual of [(1677804, 5), 8388830, 18]-NRT-code) | [i] | ||
| 18 | Linear OOA(3193, 1677834, F3, 5, 17) (dual of [(1677834, 5), 8388977, 18]-NRT-code) | [i] | ||
| 19 | Linear OOA(3196, 1677884, F3, 5, 17) (dual of [(1677884, 5), 8389224, 18]-NRT-code) | [i] | ||
| 20 | Linear OOA(3197, 1677903, F3, 5, 17) (dual of [(1677903, 5), 8389318, 18]-NRT-code) | [i] | ||
| 21 | Linear OOA(3198, 1678048, F3, 5, 17) (dual of [(1678048, 5), 8390042, 18]-NRT-code) | [i] | ||
| 22 | Linear OOA(3202, 1678268, F3, 5, 17) (dual of [(1678268, 5), 8391138, 18]-NRT-code) | [i] | ||
| 23 | Linear OOA(3203, 1678269, F3, 5, 17) (dual of [(1678269, 5), 8391142, 18]-NRT-code) | [i] | ||
| 24 | Linear OOA(3205, 1678270, F3, 5, 17) (dual of [(1678270, 5), 8391145, 18]-NRT-code) | [i] | ||
| 25 | Linear OOA(3206, 1678272, F3, 5, 17) (dual of [(1678272, 5), 8391154, 18]-NRT-code) | [i] | ||
| 26 | Linear OOA(3207, 1679362, F3, 5, 17) (dual of [(1679362, 5), 8396603, 18]-NRT-code) | [i] | ||
| 27 | Linear OOA(3209, 1679363, F3, 5, 17) (dual of [(1679363, 5), 8396606, 18]-NRT-code) | [i] | ||
| 28 | Linear OOA(3211, 1680180, F3, 5, 17) (dual of [(1680180, 5), 8400689, 18]-NRT-code) | [i] | ||
| 29 | Linear OOA(3212, 1682643, F3, 5, 17) (dual of [(1682643, 5), 8413003, 18]-NRT-code) | [i] | ||
| 30 | Linear OOA(3215, 1682644, F3, 5, 17) (dual of [(1682644, 5), 8413005, 18]-NRT-code) | [i] | ||
| 31 | Linear OOA(3216, 1682647, F3, 5, 17) (dual of [(1682647, 5), 8413019, 18]-NRT-code) | [i] | ||
| 32 | Linear OOA(3217, 1692484, F3, 5, 17) (dual of [(1692484, 5), 8462203, 18]-NRT-code) | [i] | ||
| 33 | Linear OOA(3218, 1692485, F3, 5, 17) (dual of [(1692485, 5), 8462207, 18]-NRT-code) | [i] | ||
| 34 | Linear OOA(3221, 1692488, F3, 5, 17) (dual of [(1692488, 5), 8462219, 18]-NRT-code) | [i] | ||
| 35 | Linear OOA(3222, 1722009, F3, 5, 17) (dual of [(1722009, 5), 8609823, 18]-NRT-code) | [i] | ||
| 36 | Linear OOA(3223, 1722010, F3, 5, 17) (dual of [(1722010, 5), 8609827, 18]-NRT-code) | [i] | ||
| 37 | Linear OOA(3232, 2076304, F3, 5, 17) (dual of [(2076304, 5), 10381288, 18]-NRT-code) | [i] | ||
| 38 | Linear OOA(3235, 2076305, F3, 5, 17) (dual of [(2076305, 5), 10381290, 18]-NRT-code) | [i] | ||
| 39 | Linear OOA(3236, 2076308, F3, 5, 17) (dual of [(2076308, 5), 10381304, 18]-NRT-code) | [i] | ||
| 40 | Linear OOA(3237, 2873465, F3, 5, 17) (dual of [(2873465, 5), 14367088, 18]-NRT-code) | [i] | ||
| 41 | Linear OOA(3238, 2873466, F3, 5, 17) (dual of [(2873466, 5), 14367092, 18]-NRT-code) | [i] | ||
| 42 | Linear OOA(3241, 2873470, F3, 5, 17) (dual of [(2873470, 5), 14367109, 18]-NRT-code) | [i] | ||
| 43 | Linear OOA(3242, 3355440, F3, 5, 17) (dual of [(3355440, 5), 16776958, 18]-NRT-code) | [i] | ||
| 44 | Linear OOA(3247, 3355444, F3, 5, 17) (dual of [(3355444, 5), 16776973, 18]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 45 | Linear OOA(3248, 3355447, F3, 5, 17) (dual of [(3355447, 5), 16776987, 18]-NRT-code) | [i] | ||
| 46 | Linear OOA(3249, 3355451, F3, 5, 17) (dual of [(3355451, 5), 16777006, 18]-NRT-code) | [i] | ||
| 47 | Linear OOA(3250, 3355458, F3, 5, 17) (dual of [(3355458, 5), 16777040, 18]-NRT-code) | [i] | ||