Information on Result #1059964
Linear OOA(3136, 2097150, F3, 4, 14) (dual of [(2097150, 4), 8388464, 15]-NRT-code), using OOA 4-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(3137, 2097150, F3, 4, 14) (dual of [(2097150, 4), 8388463, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3143, 2097154, F3, 4, 14) (dual of [(2097154, 4), 8388473, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3144, 2097157, F3, 4, 14) (dual of [(2097157, 4), 8388484, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3145, 2097159, F3, 4, 14) (dual of [(2097159, 4), 8388491, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(3146, 2097161, F3, 4, 14) (dual of [(2097161, 4), 8388498, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(3147, 2097165, F3, 4, 14) (dual of [(2097165, 4), 8388513, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(3148, 2097170, F3, 4, 14) (dual of [(2097170, 4), 8388532, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(3149, 2097176, F3, 4, 14) (dual of [(2097176, 4), 8388555, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(3150, 2097184, F3, 4, 14) (dual of [(2097184, 4), 8388586, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(3153, 2097190, F3, 4, 14) (dual of [(2097190, 4), 8388607, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(3154, 2097196, F3, 4, 14) (dual of [(2097196, 4), 8388630, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(3155, 2097204, F3, 4, 14) (dual of [(2097204, 4), 8388661, 15]-NRT-code) | [i] | ||
| 13 | Linear OOA(3156, 2097218, F3, 4, 14) (dual of [(2097218, 4), 8388716, 15]-NRT-code) | [i] | ||
| 14 | Linear OOA(3157, 2097234, F3, 4, 14) (dual of [(2097234, 4), 8388779, 15]-NRT-code) | [i] | ||
| 15 | Linear OOA(3160, 2097264, F3, 4, 14) (dual of [(2097264, 4), 8388896, 15]-NRT-code) | [i] | ||
| 16 | Linear OOA(3161, 2097393, F3, 4, 14) (dual of [(2097393, 4), 8389411, 15]-NRT-code) | [i] | ||
| 17 | Linear OOA(3162, 2097395, F3, 4, 14) (dual of [(2097395, 4), 8389418, 15]-NRT-code) | [i] | ||
| 18 | Linear OOA(3163, 2097397, F3, 4, 14) (dual of [(2097397, 4), 8389425, 15]-NRT-code) | [i] | ||
| 19 | Linear OOA(3164, 2097514, F3, 4, 14) (dual of [(2097514, 4), 8389892, 15]-NRT-code) | [i] | ||
| 20 | Linear OOA(3165, 2097879, F3, 4, 14) (dual of [(2097879, 4), 8391351, 15]-NRT-code) | [i] | ||
| 21 | Linear OOA(3166, 2097881, F3, 4, 14) (dual of [(2097881, 4), 8391358, 15]-NRT-code) | [i] | ||
| 22 | Linear OOA(3167, 2097882, F3, 4, 14) (dual of [(2097882, 4), 8391361, 15]-NRT-code) | [i] | ||
| 23 | Linear OOA(3168, 2097883, F3, 4, 14) (dual of [(2097883, 4), 8391364, 15]-NRT-code) | [i] | ||
| 24 | Linear OOA(3169, 2099337, F3, 4, 14) (dual of [(2099337, 4), 8397179, 15]-NRT-code) | [i] | ||
| 25 | Linear OOA(3189, 2628591, F3, 4, 14) (dual of [(2628591, 4), 10514175, 15]-NRT-code) | [i] | ||
| 26 | Linear OOA(3190, 2628595, F3, 4, 14) (dual of [(2628595, 4), 10514190, 15]-NRT-code) | [i] | ||
| 27 | Linear OOA(3191, 2628596, F3, 4, 14) (dual of [(2628596, 4), 10514193, 15]-NRT-code) | [i] | ||
| 28 | Linear OOA(3193, 3691473, F3, 4, 14) (dual of [(3691473, 4), 14765699, 15]-NRT-code) | [i] | ||
| 29 | Linear OOA(3203, 4194314, F3, 4, 14) (dual of [(4194314, 4), 16777053, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 30 | Linear OOA(3204, 4194326, F3, 4, 14) (dual of [(4194326, 4), 16777100, 15]-NRT-code) | [i] | ||
| 31 | Linear OOA(3205, 4194341, F3, 4, 14) (dual of [(4194341, 4), 16777159, 15]-NRT-code) | [i] | ||
| 32 | Linear OOA(3206, 4194380, F3, 4, 14) (dual of [(4194380, 4), 16777314, 15]-NRT-code) | [i] | ||
| 33 | Linear OOA(3207, 4194421, F3, 4, 14) (dual of [(4194421, 4), 16777477, 15]-NRT-code) | [i] | ||
| 34 | Linear OOA(3208, 4194542, F3, 4, 14) (dual of [(4194542, 4), 16777960, 15]-NRT-code) | [i] | ||
| 35 | Linear OOA(3209, 4194665, F3, 4, 14) (dual of [(4194665, 4), 16778451, 15]-NRT-code) | [i] | ||
| 36 | Linear OOA(3210, 4195028, F3, 4, 14) (dual of [(4195028, 4), 16779902, 15]-NRT-code) | [i] | ||
| 37 | Linear OOA(3211, 4195393, F3, 4, 14) (dual of [(4195393, 4), 16781361, 15]-NRT-code) | [i] | ||