Information on Result #1060070
Linear OOA(3150, 2097150, F3, 4, 15) (dual of [(2097150, 4), 8388450, 16]-NRT-code), using OOA 4-folding based on linear OA(3150, 8388600, F3, 15) (dual of [8388600, 8388450, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3157, 2097154, F3, 4, 15) (dual of [(2097154, 4), 8388459, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3158, 2097157, F3, 4, 15) (dual of [(2097157, 4), 8388470, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(3159, 2097159, F3, 4, 15) (dual of [(2097159, 4), 8388477, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(3160, 2097161, F3, 4, 15) (dual of [(2097161, 4), 8388484, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(3161, 2097165, F3, 4, 15) (dual of [(2097165, 4), 8388499, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(3162, 2097170, F3, 4, 15) (dual of [(2097170, 4), 8388518, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(3163, 2097176, F3, 4, 15) (dual of [(2097176, 4), 8388541, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(3164, 2097184, F3, 4, 15) (dual of [(2097184, 4), 8388572, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(3167, 2097190, F3, 4, 15) (dual of [(2097190, 4), 8388593, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(3168, 2097196, F3, 4, 15) (dual of [(2097196, 4), 8388616, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(3169, 2097204, F3, 4, 15) (dual of [(2097204, 4), 8388647, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(3170, 2097218, F3, 4, 15) (dual of [(2097218, 4), 8388702, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(3171, 2097234, F3, 4, 15) (dual of [(2097234, 4), 8388765, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(3174, 2097264, F3, 4, 15) (dual of [(2097264, 4), 8388882, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(3175, 2097393, F3, 4, 15) (dual of [(2097393, 4), 8389397, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(3176, 2097395, F3, 4, 15) (dual of [(2097395, 4), 8389404, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(3177, 2097397, F3, 4, 15) (dual of [(2097397, 4), 8389411, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(3178, 2097514, F3, 4, 15) (dual of [(2097514, 4), 8389878, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(3179, 2097879, F3, 4, 15) (dual of [(2097879, 4), 8391337, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(3180, 2097881, F3, 4, 15) (dual of [(2097881, 4), 8391344, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(3181, 2097882, F3, 4, 15) (dual of [(2097882, 4), 8391347, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(3182, 2097883, F3, 4, 15) (dual of [(2097883, 4), 8391350, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(3183, 2099337, F3, 4, 15) (dual of [(2099337, 4), 8397165, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(3203, 2628591, F3, 4, 15) (dual of [(2628591, 4), 10514161, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(3204, 2628595, F3, 4, 15) (dual of [(2628595, 4), 10514176, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(3205, 2628596, F3, 4, 15) (dual of [(2628596, 4), 10514179, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(3207, 3691473, F3, 4, 15) (dual of [(3691473, 4), 14765685, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(3208, 3691478, F3, 4, 15) (dual of [(3691478, 4), 14765704, 16]-NRT-code) | [i] | ||
| 29 | Linear OOA(3216, 4194304, F3, 4, 15) (dual of [(4194304, 4), 16777000, 16]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 30 | Linear OOA(3217, 4194307, F3, 4, 15) (dual of [(4194307, 4), 16777011, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(3218, 4194311, F3, 4, 15) (dual of [(4194311, 4), 16777026, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(3219, 4194318, F3, 4, 15) (dual of [(4194318, 4), 16777053, 16]-NRT-code) | [i] | ||
| 33 | Linear OOA(3220, 4194328, F3, 4, 15) (dual of [(4194328, 4), 16777092, 16]-NRT-code) | [i] | ||
| 34 | Linear OOA(3221, 4194338, F3, 4, 15) (dual of [(4194338, 4), 16777131, 16]-NRT-code) | [i] | ||
| 35 | Linear OOA(3222, 4194377, F3, 4, 15) (dual of [(4194377, 4), 16777286, 16]-NRT-code) | [i] | ||
| 36 | Linear OOA(3223, 4194395, F3, 4, 15) (dual of [(4194395, 4), 16777357, 16]-NRT-code) | [i] | ||
| 37 | Linear OOA(3224, 4194403, F3, 4, 15) (dual of [(4194403, 4), 16777388, 16]-NRT-code) | [i] | ||
| 38 | Linear OOA(3226, 4194417, F3, 4, 15) (dual of [(4194417, 4), 16777442, 16]-NRT-code) | [i] | ||
| 39 | Linear OOA(3227, 4194456, F3, 4, 15) (dual of [(4194456, 4), 16777597, 16]-NRT-code) | [i] | ||
| 40 | Linear OOA(3227, 4194457, F3, 4, 15) (dual of [(4194457, 4), 16777601, 16]-NRT-code) | [i] | ||