Information on Result #952337
Linear OOA(3121, 2796201, F3, 3, 13) (dual of [(2796201, 3), 8388482, 14]-NRT-code), using OOA 3-folding 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, 2796201, F3, 3, 12) (dual of [(2796201, 3), 8388482, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3124, 2796202, F3, 3, 13) (dual of [(2796202, 3), 8388482, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3122, 2796201, F3, 3, 13) (dual of [(2796201, 3), 8388481, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3123, 2796201, F3, 3, 13) (dual of [(2796201, 3), 8388480, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(3127, 2796205, F3, 3, 13) (dual of [(2796205, 3), 8388488, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3128, 2796208, F3, 3, 13) (dual of [(2796208, 3), 8388496, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(3129, 2796210, F3, 3, 13) (dual of [(2796210, 3), 8388501, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(3130, 2796214, F3, 3, 13) (dual of [(2796214, 3), 8388512, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(3131, 2796220, F3, 3, 13) (dual of [(2796220, 3), 8388529, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(3132, 2796226, F3, 3, 13) (dual of [(2796226, 3), 8388546, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(3133, 2796234, F3, 3, 13) (dual of [(2796234, 3), 8388569, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(3134, 2796243, F3, 3, 13) (dual of [(2796243, 3), 8388595, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(3137, 2796247, F3, 3, 13) (dual of [(2796247, 3), 8388604, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(3138, 2796254, F3, 3, 13) (dual of [(2796254, 3), 8388624, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(3139, 2796285, F3, 3, 13) (dual of [(2796285, 3), 8388716, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(3141, 2796291, F3, 3, 13) (dual of [(2796291, 3), 8388732, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(3142, 2796315, F3, 3, 13) (dual of [(2796315, 3), 8388803, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(3143, 2796365, F3, 3, 13) (dual of [(2796365, 3), 8388952, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(3145, 2796529, F3, 3, 13) (dual of [(2796529, 3), 8389442, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(3148, 2796565, F3, 3, 13) (dual of [(2796565, 3), 8389547, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(3149, 2796930, F3, 3, 13) (dual of [(2796930, 3), 8390641, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(3150, 2796932, F3, 3, 13) (dual of [(2796932, 3), 8390646, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(3151, 2796935, F3, 3, 13) (dual of [(2796935, 3), 8390654, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(3153, 2798388, F3, 3, 13) (dual of [(2798388, 3), 8395011, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(3154, 2798391, F3, 3, 13) (dual of [(2798391, 3), 8395019, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(3155, 2798394, F3, 3, 13) (dual of [(2798394, 3), 8395027, 14]-NRT-code) | [i] | ||
| 27 | Linear OOA(3173, 3327642, F3, 3, 13) (dual of [(3327642, 3), 9982753, 14]-NRT-code) | [i] | ||
| 28 | Linear OOA(3174, 3327646, F3, 3, 13) (dual of [(3327646, 3), 9982764, 14]-NRT-code) | [i] | ||
| 29 | Linear OOA(3175, 3327651, F3, 3, 13) (dual of [(3327651, 3), 9982778, 14]-NRT-code) | [i] | ||
| 30 | Linear OOA(3177, 4390524, F3, 3, 13) (dual of [(4390524, 3), 13171395, 14]-NRT-code) | [i] | ||
| 31 | Linear OOA(3187, 5592416, F3, 3, 13) (dual of [(5592416, 3), 16777061, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 32 | Linear OOA(3188, 5592428, F3, 3, 13) (dual of [(5592428, 3), 16777096, 14]-NRT-code) | [i] | ||
| 33 | Linear OOA(3189, 5592443, F3, 3, 13) (dual of [(5592443, 3), 16777140, 14]-NRT-code) | [i] | ||
| 34 | Linear OOA(3190, 5592482, F3, 3, 13) (dual of [(5592482, 3), 16777256, 14]-NRT-code) | [i] | ||
| 35 | Linear OOA(3191, 5592523, F3, 3, 13) (dual of [(5592523, 3), 16777378, 14]-NRT-code) | [i] | ||
| 36 | Linear OOA(3192, 5592644, F3, 3, 13) (dual of [(5592644, 3), 16777740, 14]-NRT-code) | [i] | ||
| 37 | Linear OOA(3193, 5592767, F3, 3, 13) (dual of [(5592767, 3), 16778108, 14]-NRT-code) | [i] | ||
| 38 | Linear OOA(3194, 5593130, F3, 3, 13) (dual of [(5593130, 3), 16779196, 14]-NRT-code) | [i] | ||
| 39 | Linear OOA(3195, 5593495, F3, 3, 13) (dual of [(5593495, 3), 16780290, 14]-NRT-code) | [i] | ||
| 40 | Linear OOA(3121, 2796201, F3, 4, 13) (dual of [(2796201, 4), 11184683, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 41 | Linear OOA(3121, 2796201, F3, 5, 13) (dual of [(2796201, 5), 13980884, 14]-NRT-code) | [i] | ||
| 42 | Digital (108, 121, 2796201)-net over F3 | [i] | ||