Information on Result #1100842
Linear OOA(3120, 1677720, F3, 5, 12) (dual of [(1677720, 5), 8388480, 13]-NRT-code), using OOA 5-folding based on linear OA(3120, 8388600, F3, 12) (dual of [8388600, 8388480, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(3125, 1677721, F3, 5, 12) (dual of [(1677721, 5), 8388480, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3122, 1677720, F3, 5, 12) (dual of [(1677720, 5), 8388478, 13]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3123, 1677720, F3, 5, 12) (dual of [(1677720, 5), 8388477, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3124, 1677720, F3, 5, 12) (dual of [(1677720, 5), 8388476, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(3126, 1677724, F3, 5, 12) (dual of [(1677724, 5), 8388494, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3127, 1677727, F3, 5, 12) (dual of [(1677727, 5), 8388508, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(3128, 1677729, F3, 5, 12) (dual of [(1677729, 5), 8388517, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(3129, 1677733, F3, 5, 12) (dual of [(1677733, 5), 8388536, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(3130, 1677739, F3, 5, 12) (dual of [(1677739, 5), 8388565, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(3131, 1677745, F3, 5, 12) (dual of [(1677745, 5), 8388594, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(3132, 1677753, F3, 5, 12) (dual of [(1677753, 5), 8388633, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(3133, 1677762, F3, 5, 12) (dual of [(1677762, 5), 8388677, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(3136, 1677766, F3, 5, 12) (dual of [(1677766, 5), 8388694, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(3137, 1677773, F3, 5, 12) (dual of [(1677773, 5), 8388728, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(3138, 1677804, F3, 5, 12) (dual of [(1677804, 5), 8388882, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(3140, 1677810, F3, 5, 12) (dual of [(1677810, 5), 8388910, 13]-NRT-code) | [i] | ||
| 17 | Linear OOA(3141, 1677834, F3, 5, 12) (dual of [(1677834, 5), 8389029, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(3142, 1677884, F3, 5, 12) (dual of [(1677884, 5), 8389278, 13]-NRT-code) | [i] | ||
| 19 | Linear OOA(3144, 1678048, F3, 5, 12) (dual of [(1678048, 5), 8390096, 13]-NRT-code) | [i] | ||
| 20 | Linear OOA(3147, 1678084, F3, 5, 12) (dual of [(1678084, 5), 8390273, 13]-NRT-code) | [i] | ||
| 21 | Linear OOA(3148, 1678449, F3, 5, 12) (dual of [(1678449, 5), 8392097, 13]-NRT-code) | [i] | ||
| 22 | Linear OOA(3149, 1678451, F3, 5, 12) (dual of [(1678451, 5), 8392106, 13]-NRT-code) | [i] | ||
| 23 | Linear OOA(3150, 1678454, F3, 5, 12) (dual of [(1678454, 5), 8392120, 13]-NRT-code) | [i] | ||
| 24 | Linear OOA(3152, 1679907, F3, 5, 12) (dual of [(1679907, 5), 8399383, 13]-NRT-code) | [i] | ||
| 25 | Linear OOA(3153, 1679910, F3, 5, 12) (dual of [(1679910, 5), 8399397, 13]-NRT-code) | [i] | ||
| 26 | Linear OOA(3154, 1679913, F3, 5, 12) (dual of [(1679913, 5), 8399411, 13]-NRT-code) | [i] | ||
| 27 | Linear OOA(3155, 1681000, F3, 5, 12) (dual of [(1681000, 5), 8404845, 13]-NRT-code) | [i] | ||
| 28 | Linear OOA(3156, 1684281, F3, 5, 12) (dual of [(1684281, 5), 8421249, 13]-NRT-code) | [i] | ||
| 29 | Linear OOA(3157, 1684284, F3, 5, 12) (dual of [(1684284, 5), 8421263, 13]-NRT-code) | [i] | ||
| 30 | Linear OOA(3158, 1684287, F3, 5, 12) (dual of [(1684287, 5), 8421277, 13]-NRT-code) | [i] | ||
| 31 | Linear OOA(3159, 1684288, F3, 5, 12) (dual of [(1684288, 5), 8421281, 13]-NRT-code) | [i] | ||
| 32 | Linear OOA(3160, 1697403, F3, 5, 12) (dual of [(1697403, 5), 8486855, 13]-NRT-code) | [i] | ||
| 33 | Linear OOA(3161, 1697406, F3, 5, 12) (dual of [(1697406, 5), 8486869, 13]-NRT-code) | [i] | ||
| 34 | Linear OOA(3176, 3272043, F3, 5, 12) (dual of [(3272043, 5), 16360039, 13]-NRT-code) | [i] | ||
| 35 | Linear OOA(3177, 3272048, F3, 5, 12) (dual of [(3272048, 5), 16360063, 13]-NRT-code) | [i] | ||
| 36 | Linear OOA(3178, 3272053, F3, 5, 12) (dual of [(3272053, 5), 16360087, 13]-NRT-code) | [i] | ||
| 37 | Linear OOA(3203, 4866365, F3, 5, 12) (dual of [(4866365, 5), 24331622, 13]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 38 | Linear OOA(3204, 4866370, F3, 5, 12) (dual of [(4866370, 5), 24331646, 13]-NRT-code) | [i] | ||
| 39 | Linear OOA(3205, 4866376, F3, 5, 12) (dual of [(4866376, 5), 24331675, 13]-NRT-code) | [i] | ||
| 40 | Linear OOA(3206, 4866386, F3, 5, 12) (dual of [(4866386, 5), 24331724, 13]-NRT-code) | [i] | ||
| 41 | Linear OOA(3207, 4949762, F3, 5, 12) (dual of [(4949762, 5), 24748603, 13]-NRT-code) | [i] | ||
| 42 | Linear OOA(3208, 5033160, F3, 5, 12) (dual of [(5033160, 5), 25165592, 13]-NRT-code) | [i] | ||