Information on Result #813494
Linear OOA(3180, 4194301, F3, 2, 18) (dual of [(4194301, 2), 8388422, 19]-NRT-code), using OOA 2-folding based on linear OA(3180, 8388602, F3, 18) (dual of [8388602, 8388422, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(3182, 4194302, F3, 2, 18) (dual of [(4194302, 2), 8388422, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3184, 4194303, F3, 2, 18) (dual of [(4194303, 2), 8388422, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(3186, 4194304, F3, 2, 18) (dual of [(4194304, 2), 8388422, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(3188, 4194305, F3, 2, 18) (dual of [(4194305, 2), 8388422, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(3189, 4194306, F3, 2, 18) (dual of [(4194306, 2), 8388423, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3190, 4194308, F3, 2, 18) (dual of [(4194308, 2), 8388426, 19]-NRT-code) | [i] | ||
| 7 | Linear OOA(3191, 4194309, F3, 2, 18) (dual of [(4194309, 2), 8388427, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(3192, 4194311, F3, 2, 18) (dual of [(4194311, 2), 8388430, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(3193, 4194314, F3, 2, 18) (dual of [(4194314, 2), 8388435, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(3194, 4194316, F3, 2, 18) (dual of [(4194316, 2), 8388438, 19]-NRT-code) | [i] | ||
| 11 | Linear OOA(3195, 4194317, F3, 2, 18) (dual of [(4194317, 2), 8388439, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(3196, 4194319, F3, 2, 18) (dual of [(4194319, 2), 8388442, 19]-NRT-code) | [i] | ||
| 13 | Linear OOA(3197, 4194321, F3, 2, 18) (dual of [(4194321, 2), 8388445, 19]-NRT-code) | [i] | ||
| 14 | Linear OOA(3198, 4194322, F3, 2, 18) (dual of [(4194322, 2), 8388446, 19]-NRT-code) | [i] | ||
| 15 | Linear OOA(3199, 4194327, F3, 2, 18) (dual of [(4194327, 2), 8388455, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(3200, 4194333, F3, 2, 18) (dual of [(4194333, 2), 8388466, 19]-NRT-code) | [i] | ||
| 17 | Linear OOA(3202, 4194341, F3, 2, 18) (dual of [(4194341, 2), 8388480, 19]-NRT-code) | [i] | ||
| 18 | Linear OOA(3204, 4194357, F3, 2, 18) (dual of [(4194357, 2), 8388510, 19]-NRT-code) | [i] | ||
| 19 | Linear OOA(3206, 4194361, F3, 2, 18) (dual of [(4194361, 2), 8388516, 19]-NRT-code) | [i] | ||
| 20 | Linear OOA(3207, 4194385, F3, 2, 18) (dual of [(4194385, 2), 8388563, 19]-NRT-code) | [i] | ||
| 21 | Linear OOA(3210, 4194422, F3, 2, 18) (dual of [(4194422, 2), 8388634, 19]-NRT-code) | [i] | ||
| 22 | Linear OOA(3211, 4194427, F3, 2, 18) (dual of [(4194427, 2), 8388643, 19]-NRT-code) | [i] | ||
| 23 | Linear OOA(3212, 4194429, F3, 2, 18) (dual of [(4194429, 2), 8388646, 19]-NRT-code) | [i] | ||
| 24 | Linear OOA(3213, 4194445, F3, 2, 18) (dual of [(4194445, 2), 8388677, 19]-NRT-code) | [i] | ||
| 25 | Linear OOA(3214, 4194465, F3, 2, 18) (dual of [(4194465, 2), 8388716, 19]-NRT-code) | [i] | ||
| 26 | Linear OOA(3215, 4194483, F3, 2, 18) (dual of [(4194483, 2), 8388751, 19]-NRT-code) | [i] | ||
| 27 | Linear OOA(3216, 4194665, F3, 2, 18) (dual of [(4194665, 2), 8389114, 19]-NRT-code) | [i] | ||
| 28 | Linear OOA(3217, 4194671, F3, 2, 18) (dual of [(4194671, 2), 8389125, 19]-NRT-code) | [i] | ||
| 29 | Linear OOA(3218, 4194673, F3, 2, 18) (dual of [(4194673, 2), 8389128, 19]-NRT-code) | [i] | ||
| 30 | Linear OOA(3219, 4194675, F3, 2, 18) (dual of [(4194675, 2), 8389131, 19]-NRT-code) | [i] | ||
| 31 | Linear OOA(3220, 4194701, F3, 2, 18) (dual of [(4194701, 2), 8389182, 19]-NRT-code) | [i] | ||
| 32 | Linear OOA(3221, 4194847, F3, 2, 18) (dual of [(4194847, 2), 8389473, 19]-NRT-code) | [i] | ||
| 33 | Linear OOA(3222, 4195394, F3, 2, 18) (dual of [(4195394, 2), 8390566, 19]-NRT-code) | [i] | ||
| 34 | Linear OOA(3223, 4195398, F3, 2, 18) (dual of [(4195398, 2), 8390573, 19]-NRT-code) | [i] | ||
| 35 | Linear OOA(3201, 4194336, F3, 2, 18) (dual of [(4194336, 2), 8388471, 19]-NRT-code) | [i] | ||
| 36 | Linear OOA(3202, 4194342, F3, 2, 18) (dual of [(4194342, 2), 8388482, 19]-NRT-code) | [i] | ||
| 37 | Linear OOA(3203, 4194350, F3, 2, 18) (dual of [(4194350, 2), 8388497, 19]-NRT-code) | [i] | ||
| 38 | Linear OOA(3204, 4194359, F3, 2, 18) (dual of [(4194359, 2), 8388514, 19]-NRT-code) | [i] | ||
| 39 | Linear OOA(3205, 4194369, F3, 2, 18) (dual of [(4194369, 2), 8388533, 19]-NRT-code) | [i] | ||