Information on Result #1100995
Linear OOA(3136, 1677720, F3, 5, 14) (dual of [(1677720, 5), 8388464, 15]-NRT-code), using OOA 5-folding based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(3141, 1677721, F3, 5, 14) (dual of [(1677721, 5), 8388464, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3137, 1677720, F3, 5, 14) (dual of [(1677720, 5), 8388463, 15]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3138, 1677720, F3, 5, 14) (dual of [(1677720, 5), 8388462, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3139, 1677720, F3, 5, 14) (dual of [(1677720, 5), 8388461, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(3140, 1677720, F3, 5, 14) (dual of [(1677720, 5), 8388460, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(3143, 1677724, F3, 5, 14) (dual of [(1677724, 5), 8388477, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(3144, 1677727, F3, 5, 14) (dual of [(1677727, 5), 8388491, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(3145, 1677729, F3, 5, 14) (dual of [(1677729, 5), 8388500, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(3146, 1677731, F3, 5, 14) (dual of [(1677731, 5), 8388509, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(3147, 1677735, F3, 5, 14) (dual of [(1677735, 5), 8388528, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(3148, 1677740, F3, 5, 14) (dual of [(1677740, 5), 8388552, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(3149, 1677746, F3, 5, 14) (dual of [(1677746, 5), 8388581, 15]-NRT-code) | [i] | ||
| 13 | Linear OOA(3150, 1677754, F3, 5, 14) (dual of [(1677754, 5), 8388620, 15]-NRT-code) | [i] | ||
| 14 | Linear OOA(3153, 1677760, F3, 5, 14) (dual of [(1677760, 5), 8388647, 15]-NRT-code) | [i] | ||
| 15 | Linear OOA(3154, 1677766, F3, 5, 14) (dual of [(1677766, 5), 8388676, 15]-NRT-code) | [i] | ||
| 16 | Linear OOA(3155, 1677774, F3, 5, 14) (dual of [(1677774, 5), 8388715, 15]-NRT-code) | [i] | ||
| 17 | Linear OOA(3156, 1677788, F3, 5, 14) (dual of [(1677788, 5), 8388784, 15]-NRT-code) | [i] | ||
| 18 | Linear OOA(3157, 1677804, F3, 5, 14) (dual of [(1677804, 5), 8388863, 15]-NRT-code) | [i] | ||
| 19 | Linear OOA(3160, 1677834, F3, 5, 14) (dual of [(1677834, 5), 8389010, 15]-NRT-code) | [i] | ||
| 20 | Linear OOA(3161, 1677963, F3, 5, 14) (dual of [(1677963, 5), 8389654, 15]-NRT-code) | [i] | ||
| 21 | Linear OOA(3162, 1677965, F3, 5, 14) (dual of [(1677965, 5), 8389663, 15]-NRT-code) | [i] | ||
| 22 | Linear OOA(3163, 1677967, F3, 5, 14) (dual of [(1677967, 5), 8389672, 15]-NRT-code) | [i] | ||
| 23 | Linear OOA(3164, 1678084, F3, 5, 14) (dual of [(1678084, 5), 8390256, 15]-NRT-code) | [i] | ||
| 24 | Linear OOA(3165, 1678449, F3, 5, 14) (dual of [(1678449, 5), 8392080, 15]-NRT-code) | [i] | ||
| 25 | Linear OOA(3166, 1678451, F3, 5, 14) (dual of [(1678451, 5), 8392089, 15]-NRT-code) | [i] | ||
| 26 | Linear OOA(3167, 1678452, F3, 5, 14) (dual of [(1678452, 5), 8392093, 15]-NRT-code) | [i] | ||
| 27 | Linear OOA(3168, 1678453, F3, 5, 14) (dual of [(1678453, 5), 8392097, 15]-NRT-code) | [i] | ||
| 28 | Linear OOA(3169, 1679907, F3, 5, 14) (dual of [(1679907, 5), 8399366, 15]-NRT-code) | [i] | ||
| 29 | Linear OOA(3170, 1679910, F3, 5, 14) (dual of [(1679910, 5), 8399380, 15]-NRT-code) | [i] | ||
| 30 | Linear OOA(3172, 1681000, F3, 5, 14) (dual of [(1681000, 5), 8404828, 15]-NRT-code) | [i] | ||
| 31 | Linear OOA(3173, 1684281, F3, 5, 14) (dual of [(1684281, 5), 8421232, 15]-NRT-code) | [i] | ||
| 32 | Linear OOA(3174, 1684284, F3, 5, 14) (dual of [(1684284, 5), 8421246, 15]-NRT-code) | [i] | ||
| 33 | Linear OOA(3176, 1684285, F3, 5, 14) (dual of [(1684285, 5), 8421249, 15]-NRT-code) | [i] | ||
| 34 | Linear OOA(3177, 1697403, F3, 5, 14) (dual of [(1697403, 5), 8486838, 15]-NRT-code) | [i] | ||
| 35 | Linear OOA(3178, 1697406, F3, 5, 14) (dual of [(1697406, 5), 8486852, 15]-NRT-code) | [i] | ||
| 36 | Linear OOA(3179, 1697407, F3, 5, 14) (dual of [(1697407, 5), 8486856, 15]-NRT-code) | [i] | ||
| 37 | Linear OOA(3181, 1736769, F3, 5, 14) (dual of [(1736769, 5), 8683664, 15]-NRT-code) | [i] | ||
| 38 | Linear OOA(3182, 1736773, F3, 5, 14) (dual of [(1736773, 5), 8683683, 15]-NRT-code) | [i] | ||
| 39 | Linear OOA(3189, 2209161, F3, 5, 14) (dual of [(2209161, 5), 11045616, 15]-NRT-code) | [i] | ||
| 40 | Linear OOA(3190, 2209165, F3, 5, 14) (dual of [(2209165, 5), 11045635, 15]-NRT-code) | [i] | ||
| 41 | Linear OOA(3191, 2209166, F3, 5, 14) (dual of [(2209166, 5), 11045639, 15]-NRT-code) | [i] | ||
| 42 | Linear OOA(3193, 3272043, F3, 5, 14) (dual of [(3272043, 5), 16360022, 15]-NRT-code) | [i] | ||
| 43 | Linear OOA(3194, 3272048, F3, 5, 14) (dual of [(3272048, 5), 16360046, 15]-NRT-code) | [i] | ||
| 44 | Linear OOA(3197, 3355440, F3, 5, 14) (dual of [(3355440, 5), 16777003, 15]-NRT-code) | [i] | ||
| 45 | Linear OOA(3220, 4866365, F3, 5, 14) (dual of [(4866365, 5), 24331605, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 46 | Linear OOA(3221, 4866366, F3, 5, 14) (dual of [(4866366, 5), 24331609, 15]-NRT-code) | [i] | ||
| 47 | Linear OOA(3221, 4866370, F3, 5, 14) (dual of [(4866370, 5), 24331629, 15]-NRT-code) | [i] | ||
| 48 | Linear OOA(3222, 4866376, F3, 5, 14) (dual of [(4866376, 5), 24331658, 15]-NRT-code) | [i] | ||
| 49 | Linear OOA(3201, 3355444, F3, 5, 14) (dual of [(3355444, 5), 16777019, 15]-NRT-code) | [i] | ||
| 50 | Linear OOA(3202, 3355448, F3, 5, 14) (dual of [(3355448, 5), 16777038, 15]-NRT-code) | [i] | ||
| 51 | Linear OOA(3203, 3355454, F3, 5, 14) (dual of [(3355454, 5), 16777067, 15]-NRT-code) | [i] | ||
| 52 | Linear OOA(3204, 3355466, F3, 5, 14) (dual of [(3355466, 5), 16777126, 15]-NRT-code) | [i] | ||
| 53 | Linear OOA(3205, 3355481, F3, 5, 14) (dual of [(3355481, 5), 16777200, 15]-NRT-code) | [i] | ||
| 54 | Linear OOA(3206, 3355520, F3, 5, 14) (dual of [(3355520, 5), 16777394, 15]-NRT-code) | [i] | ||
| 55 | Linear OOA(3207, 3355561, F3, 5, 14) (dual of [(3355561, 5), 16777598, 15]-NRT-code) | [i] | ||
| 56 | Linear OOA(3208, 3355682, F3, 5, 14) (dual of [(3355682, 5), 16778202, 15]-NRT-code) | [i] | ||
| 57 | Linear OOA(3209, 3355805, F3, 5, 14) (dual of [(3355805, 5), 16778816, 15]-NRT-code) | [i] | ||
| 58 | Linear OOA(3210, 3356168, F3, 5, 14) (dual of [(3356168, 5), 16780630, 15]-NRT-code) | [i] | ||
| 59 | Linear OOA(3211, 3356533, F3, 5, 14) (dual of [(3356533, 5), 16782454, 15]-NRT-code) | [i] | ||
| 60 | Linear OOA(3224, 4949762, F3, 5, 14) (dual of [(4949762, 5), 24748586, 15]-NRT-code) | [i] | ||
| 61 | Linear OOA(3225, 5033160, F3, 5, 14) (dual of [(5033160, 5), 25165575, 15]-NRT-code) | [i] | ||