Information on Result #1060313
Linear OOA(3166, 2097150, F3, 4, 17) (dual of [(2097150, 4), 8388434, 18]-NRT-code), using OOA 4-folding based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(3167, 2097150, F3, 4, 17) (dual of [(2097150, 4), 8388433, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3174, 2097154, F3, 4, 17) (dual of [(2097154, 4), 8388442, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3175, 2097157, F3, 4, 17) (dual of [(2097157, 4), 8388453, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(3176, 2097158, F3, 4, 17) (dual of [(2097158, 4), 8388456, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(3177, 2097161, F3, 4, 17) (dual of [(2097161, 4), 8388467, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(3178, 2097164, F3, 4, 17) (dual of [(2097164, 4), 8388478, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(3179, 2097167, F3, 4, 17) (dual of [(2097167, 4), 8388489, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(3180, 2097172, F3, 4, 17) (dual of [(2097172, 4), 8388508, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(3184, 2097182, F3, 4, 17) (dual of [(2097182, 4), 8388544, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(3186, 2097190, F3, 4, 17) (dual of [(2097190, 4), 8388574, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(3187, 2097194, F3, 4, 17) (dual of [(2097194, 4), 8388589, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(3188, 2097206, F3, 4, 17) (dual of [(2097206, 4), 8388636, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(3190, 2097234, F3, 4, 17) (dual of [(2097234, 4), 8388746, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(3193, 2097264, F3, 4, 17) (dual of [(2097264, 4), 8388863, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(3196, 2097314, F3, 4, 17) (dual of [(2097314, 4), 8389060, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(3198, 2097478, F3, 4, 17) (dual of [(2097478, 4), 8389714, 18]-NRT-code) | [i] | ||
| 17 | Linear OOA(3206, 2097702, F3, 4, 17) (dual of [(2097702, 4), 8390602, 18]-NRT-code) | [i] | ||
| 18 | Linear OOA(3247, 4194304, F3, 4, 17) (dual of [(4194304, 4), 16776969, 18]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 19 | Linear OOA(3248, 4194307, F3, 4, 17) (dual of [(4194307, 4), 16776980, 18]-NRT-code) | [i] | ||
| 20 | Linear OOA(3249, 4194311, F3, 4, 17) (dual of [(4194311, 4), 16776995, 18]-NRT-code) | [i] | ||
| 21 | Linear OOA(3250, 4194318, F3, 4, 17) (dual of [(4194318, 4), 16777022, 18]-NRT-code) | [i] | ||