Information on Result #1100916
Linear OOA(3121, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388479, 14]-NRT-code), using OOA 5-folding based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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(3121, 1677720, F3, 5, 12) (dual of [(1677720, 5), 8388479, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3126, 1677721, F3, 5, 13) (dual of [(1677721, 5), 8388479, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3122, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388478, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3123, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388477, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(3124, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388476, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(3125, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388475, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(3127, 1677724, F3, 5, 13) (dual of [(1677724, 5), 8388493, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(3128, 1677727, F3, 5, 13) (dual of [(1677727, 5), 8388507, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(3129, 1677729, F3, 5, 13) (dual of [(1677729, 5), 8388516, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(3130, 1677733, F3, 5, 13) (dual of [(1677733, 5), 8388535, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(3131, 1677739, F3, 5, 13) (dual of [(1677739, 5), 8388564, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(3132, 1677745, F3, 5, 13) (dual of [(1677745, 5), 8388593, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(3133, 1677753, F3, 5, 13) (dual of [(1677753, 5), 8388632, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(3134, 1677762, F3, 5, 13) (dual of [(1677762, 5), 8388676, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(3137, 1677766, F3, 5, 13) (dual of [(1677766, 5), 8388693, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(3138, 1677773, F3, 5, 13) (dual of [(1677773, 5), 8388727, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(3139, 1677804, F3, 5, 13) (dual of [(1677804, 5), 8388881, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(3141, 1677810, F3, 5, 13) (dual of [(1677810, 5), 8388909, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(3142, 1677834, F3, 5, 13) (dual of [(1677834, 5), 8389028, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(3143, 1677884, F3, 5, 13) (dual of [(1677884, 5), 8389277, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(3145, 1678048, F3, 5, 13) (dual of [(1678048, 5), 8390095, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(3148, 1678084, F3, 5, 13) (dual of [(1678084, 5), 8390272, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(3149, 1678449, F3, 5, 13) (dual of [(1678449, 5), 8392096, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(3150, 1678451, F3, 5, 13) (dual of [(1678451, 5), 8392105, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(3151, 1678454, F3, 5, 13) (dual of [(1678454, 5), 8392119, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(3153, 1679907, F3, 5, 13) (dual of [(1679907, 5), 8399382, 14]-NRT-code) | [i] | ||
| 27 | Linear OOA(3154, 1679910, F3, 5, 13) (dual of [(1679910, 5), 8399396, 14]-NRT-code) | [i] | ||
| 28 | Linear OOA(3155, 1679913, F3, 5, 13) (dual of [(1679913, 5), 8399410, 14]-NRT-code) | [i] | ||
| 29 | Linear OOA(3156, 1681000, F3, 5, 13) (dual of [(1681000, 5), 8404844, 14]-NRT-code) | [i] | ||
| 30 | Linear OOA(3157, 1684281, F3, 5, 13) (dual of [(1684281, 5), 8421248, 14]-NRT-code) | [i] | ||
| 31 | Linear OOA(3158, 1684284, F3, 5, 13) (dual of [(1684284, 5), 8421262, 14]-NRT-code) | [i] | ||
| 32 | Linear OOA(3159, 1684287, F3, 5, 13) (dual of [(1684287, 5), 8421276, 14]-NRT-code) | [i] | ||
| 33 | Linear OOA(3160, 1684288, F3, 5, 13) (dual of [(1684288, 5), 8421280, 14]-NRT-code) | [i] | ||
| 34 | Linear OOA(3161, 1697403, F3, 5, 13) (dual of [(1697403, 5), 8486854, 14]-NRT-code) | [i] | ||
| 35 | Linear OOA(3162, 1697406, F3, 5, 13) (dual of [(1697406, 5), 8486868, 14]-NRT-code) | [i] | ||
| 36 | Linear OOA(3163, 1697410, F3, 5, 13) (dual of [(1697410, 5), 8486887, 14]-NRT-code) | [i] | ||
| 37 | Linear OOA(3165, 1736769, F3, 5, 13) (dual of [(1736769, 5), 8683680, 14]-NRT-code) | [i] | ||
| 38 | Linear OOA(3166, 1736773, F3, 5, 13) (dual of [(1736773, 5), 8683699, 14]-NRT-code) | [i] | ||
| 39 | Linear OOA(3167, 1736777, F3, 5, 13) (dual of [(1736777, 5), 8683718, 14]-NRT-code) | [i] | ||
| 40 | Linear OOA(3173, 2209161, F3, 5, 13) (dual of [(2209161, 5), 11045632, 14]-NRT-code) | [i] | ||
| 41 | Linear OOA(3174, 2209165, F3, 5, 13) (dual of [(2209165, 5), 11045651, 14]-NRT-code) | [i] | ||
| 42 | Linear OOA(3175, 2209170, F3, 5, 13) (dual of [(2209170, 5), 11045675, 14]-NRT-code) | [i] | ||
| 43 | Linear OOA(3177, 3272043, F3, 5, 13) (dual of [(3272043, 5), 16360038, 14]-NRT-code) | [i] | ||
| 44 | Linear OOA(3178, 3272048, F3, 5, 13) (dual of [(3272048, 5), 16360062, 14]-NRT-code) | [i] | ||
| 45 | Linear OOA(3179, 3272053, F3, 5, 13) (dual of [(3272053, 5), 16360086, 14]-NRT-code) | [i] | ||
| 46 | Linear OOA(3181, 3355440, F3, 5, 13) (dual of [(3355440, 5), 16777019, 14]-NRT-code) | [i] | ||
| 47 | Linear OOA(3204, 4866365, F3, 5, 13) (dual of [(4866365, 5), 24331621, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 48 | Linear OOA(3205, 4866366, F3, 5, 13) (dual of [(4866366, 5), 24331625, 14]-NRT-code) | [i] | ||
| 49 | Linear OOA(3205, 4866370, F3, 5, 13) (dual of [(4866370, 5), 24331645, 14]-NRT-code) | [i] | ||
| 50 | Linear OOA(3206, 4866376, F3, 5, 13) (dual of [(4866376, 5), 24331674, 14]-NRT-code) | [i] | ||
| 51 | Linear OOA(3207, 4866386, F3, 5, 13) (dual of [(4866386, 5), 24331723, 14]-NRT-code) | [i] | ||
| 52 | Linear OOA(3185, 3355444, F3, 5, 13) (dual of [(3355444, 5), 16777035, 14]-NRT-code) | [i] | ||
| 53 | Linear OOA(3186, 3355448, F3, 5, 13) (dual of [(3355448, 5), 16777054, 14]-NRT-code) | [i] | ||
| 54 | Linear OOA(3187, 3355454, F3, 5, 13) (dual of [(3355454, 5), 16777083, 14]-NRT-code) | [i] | ||
| 55 | Linear OOA(3188, 3355466, F3, 5, 13) (dual of [(3355466, 5), 16777142, 14]-NRT-code) | [i] | ||
| 56 | Linear OOA(3189, 3355481, F3, 5, 13) (dual of [(3355481, 5), 16777216, 14]-NRT-code) | [i] | ||
| 57 | Linear OOA(3190, 3355520, F3, 5, 13) (dual of [(3355520, 5), 16777410, 14]-NRT-code) | [i] | ||
| 58 | Linear OOA(3191, 3355561, F3, 5, 13) (dual of [(3355561, 5), 16777614, 14]-NRT-code) | [i] | ||
| 59 | Linear OOA(3192, 3355682, F3, 5, 13) (dual of [(3355682, 5), 16778218, 14]-NRT-code) | [i] | ||
| 60 | Linear OOA(3193, 3355805, F3, 5, 13) (dual of [(3355805, 5), 16778832, 14]-NRT-code) | [i] | ||
| 61 | Linear OOA(3194, 3356168, F3, 5, 13) (dual of [(3356168, 5), 16780646, 14]-NRT-code) | [i] | ||
| 62 | Linear OOA(3195, 3356533, F3, 5, 13) (dual of [(3356533, 5), 16782470, 14]-NRT-code) | [i] | ||
| 63 | Linear OOA(3208, 4949762, F3, 5, 13) (dual of [(4949762, 5), 24748602, 14]-NRT-code) | [i] | ||
| 64 | Linear OOA(3209, 5033160, F3, 5, 13) (dual of [(5033160, 5), 25165591, 14]-NRT-code) | [i] | ||