Information on Result #1101080
Linear OOA(3150, 1677720, F3, 5, 15) (dual of [(1677720, 5), 8388450, 16]-NRT-code), using OOA 5-folding based on linear OA(3150, 8388600, F3, 15) (dual of [8388600, 8388450, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3155, 1677721, F3, 5, 15) (dual of [(1677721, 5), 8388450, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3152, 1677720, F3, 5, 15) (dual of [(1677720, 5), 8388448, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3153, 1677720, F3, 5, 15) (dual of [(1677720, 5), 8388447, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(3154, 1677720, F3, 5, 15) (dual of [(1677720, 5), 8388446, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(3157, 1677724, F3, 5, 15) (dual of [(1677724, 5), 8388463, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3158, 1677727, F3, 5, 15) (dual of [(1677727, 5), 8388477, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(3159, 1677729, F3, 5, 15) (dual of [(1677729, 5), 8388486, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(3160, 1677731, F3, 5, 15) (dual of [(1677731, 5), 8388495, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(3161, 1677735, F3, 5, 15) (dual of [(1677735, 5), 8388514, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(3162, 1677740, F3, 5, 15) (dual of [(1677740, 5), 8388538, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(3163, 1677746, F3, 5, 15) (dual of [(1677746, 5), 8388567, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(3164, 1677754, F3, 5, 15) (dual of [(1677754, 5), 8388606, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(3167, 1677760, F3, 5, 15) (dual of [(1677760, 5), 8388633, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(3168, 1677766, F3, 5, 15) (dual of [(1677766, 5), 8388662, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(3169, 1677774, F3, 5, 15) (dual of [(1677774, 5), 8388701, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(3170, 1677788, F3, 5, 15) (dual of [(1677788, 5), 8388770, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(3171, 1677804, F3, 5, 15) (dual of [(1677804, 5), 8388849, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(3174, 1677834, F3, 5, 15) (dual of [(1677834, 5), 8388996, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(3175, 1677963, F3, 5, 15) (dual of [(1677963, 5), 8389640, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(3176, 1677965, F3, 5, 15) (dual of [(1677965, 5), 8389649, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(3177, 1677967, F3, 5, 15) (dual of [(1677967, 5), 8389658, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(3178, 1678084, F3, 5, 15) (dual of [(1678084, 5), 8390242, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(3179, 1678449, F3, 5, 15) (dual of [(1678449, 5), 8392066, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(3180, 1678451, F3, 5, 15) (dual of [(1678451, 5), 8392075, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(3181, 1678452, F3, 5, 15) (dual of [(1678452, 5), 8392079, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(3182, 1678453, F3, 5, 15) (dual of [(1678453, 5), 8392083, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(3183, 1679907, F3, 5, 15) (dual of [(1679907, 5), 8399352, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(3184, 1679910, F3, 5, 15) (dual of [(1679910, 5), 8399366, 16]-NRT-code) | [i] | ||
| 29 | Linear OOA(3186, 1681000, F3, 5, 15) (dual of [(1681000, 5), 8404814, 16]-NRT-code) | [i] | ||
| 30 | Linear OOA(3187, 1684281, F3, 5, 15) (dual of [(1684281, 5), 8421218, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(3188, 1684284, F3, 5, 15) (dual of [(1684284, 5), 8421232, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(3190, 1684285, F3, 5, 15) (dual of [(1684285, 5), 8421235, 16]-NRT-code) | [i] | ||
| 33 | Linear OOA(3191, 1697403, F3, 5, 15) (dual of [(1697403, 5), 8486824, 16]-NRT-code) | [i] | ||
| 34 | Linear OOA(3192, 1697406, F3, 5, 15) (dual of [(1697406, 5), 8486838, 16]-NRT-code) | [i] | ||
| 35 | Linear OOA(3193, 1697407, F3, 5, 15) (dual of [(1697407, 5), 8486842, 16]-NRT-code) | [i] | ||
| 36 | Linear OOA(3195, 1736769, F3, 5, 15) (dual of [(1736769, 5), 8683650, 16]-NRT-code) | [i] | ||
| 37 | Linear OOA(3196, 1736773, F3, 5, 15) (dual of [(1736773, 5), 8683669, 16]-NRT-code) | [i] | ||
| 38 | Linear OOA(3203, 2209161, F3, 5, 15) (dual of [(2209161, 5), 11045602, 16]-NRT-code) | [i] | ||
| 39 | Linear OOA(3204, 2209165, F3, 5, 15) (dual of [(2209165, 5), 11045621, 16]-NRT-code) | [i] | ||
| 40 | Linear OOA(3205, 2209166, F3, 5, 15) (dual of [(2209166, 5), 11045625, 16]-NRT-code) | [i] | ||
| 41 | Linear OOA(3207, 3272043, F3, 5, 15) (dual of [(3272043, 5), 16360008, 16]-NRT-code) | [i] | ||
| 42 | Linear OOA(3208, 3272048, F3, 5, 15) (dual of [(3272048, 5), 16360032, 16]-NRT-code) | [i] | ||
| 43 | Linear OOA(3211, 3355440, F3, 5, 15) (dual of [(3355440, 5), 16776989, 16]-NRT-code) | [i] | ||
| 44 | Linear OOA(3250, 4866366, F3, 5, 15) (dual of [(4866366, 5), 24331580, 16]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 45 | Linear OOA(3216, 3355444, F3, 5, 15) (dual of [(3355444, 5), 16777004, 16]-NRT-code) | [i] | ||
| 46 | Linear OOA(3217, 3355447, F3, 5, 15) (dual of [(3355447, 5), 16777018, 16]-NRT-code) | [i] | ||
| 47 | Linear OOA(3218, 3355451, F3, 5, 15) (dual of [(3355451, 5), 16777037, 16]-NRT-code) | [i] | ||
| 48 | Linear OOA(3219, 3355458, F3, 5, 15) (dual of [(3355458, 5), 16777071, 16]-NRT-code) | [i] | ||
| 49 | Linear OOA(3220, 3355468, F3, 5, 15) (dual of [(3355468, 5), 16777120, 16]-NRT-code) | [i] | ||
| 50 | Linear OOA(3221, 3355478, F3, 5, 15) (dual of [(3355478, 5), 16777169, 16]-NRT-code) | [i] | ||
| 51 | Linear OOA(3222, 3355517, F3, 5, 15) (dual of [(3355517, 5), 16777363, 16]-NRT-code) | [i] | ||
| 52 | Linear OOA(3223, 3355535, F3, 5, 15) (dual of [(3355535, 5), 16777452, 16]-NRT-code) | [i] | ||
| 53 | Linear OOA(3224, 3355543, F3, 5, 15) (dual of [(3355543, 5), 16777491, 16]-NRT-code) | [i] | ||
| 54 | Linear OOA(3226, 3355557, F3, 5, 15) (dual of [(3355557, 5), 16777559, 16]-NRT-code) | [i] | ||
| 55 | Linear OOA(3227, 3355597, F3, 5, 15) (dual of [(3355597, 5), 16777758, 16]-NRT-code) | [i] | ||