Information on Result #813192
Linear OOA(3150, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using OOA 2-folding based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 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(3152, 4194302, F3, 2, 15) (dual of [(4194302, 2), 8388452, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3154, 4194303, F3, 2, 15) (dual of [(4194303, 2), 8388452, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(3156, 4194304, F3, 2, 15) (dual of [(4194304, 2), 8388452, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(3157, 4194305, F3, 2, 15) (dual of [(4194305, 2), 8388453, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3158, 4194308, F3, 2, 15) (dual of [(4194308, 2), 8388458, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(3159, 4194310, F3, 2, 15) (dual of [(4194310, 2), 8388461, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(3160, 4194312, F3, 2, 15) (dual of [(4194312, 2), 8388464, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(3161, 4194316, F3, 2, 15) (dual of [(4194316, 2), 8388471, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(3162, 4194321, F3, 2, 15) (dual of [(4194321, 2), 8388480, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(3163, 4194327, F3, 2, 15) (dual of [(4194327, 2), 8388491, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(3164, 4194335, F3, 2, 15) (dual of [(4194335, 2), 8388506, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(3166, 4194342, F3, 2, 15) (dual of [(4194342, 2), 8388518, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(3167, 4194344, F3, 2, 15) (dual of [(4194344, 2), 8388521, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(3168, 4194347, F3, 2, 15) (dual of [(4194347, 2), 8388526, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(3169, 4194355, F3, 2, 15) (dual of [(4194355, 2), 8388541, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(3170, 4194369, F3, 2, 15) (dual of [(4194369, 2), 8388568, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(3171, 4194423, F3, 2, 15) (dual of [(4194423, 2), 8388675, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(3172, 4194425, F3, 2, 15) (dual of [(4194425, 2), 8388678, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(3173, 4194428, F3, 2, 15) (dual of [(4194428, 2), 8388683, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(3174, 4194429, F3, 2, 15) (dual of [(4194429, 2), 8388684, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(3175, 4194666, F3, 2, 15) (dual of [(4194666, 2), 8389157, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(3176, 4194669, F3, 2, 15) (dual of [(4194669, 2), 8389162, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(3177, 4194672, F3, 2, 15) (dual of [(4194672, 2), 8389167, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(3178, 4194847, F3, 2, 15) (dual of [(4194847, 2), 8389516, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(3179, 4195395, F3, 2, 15) (dual of [(4195395, 2), 8390611, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(3180, 4195399, F3, 2, 15) (dual of [(4195399, 2), 8390618, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(3182, 4195401, F3, 2, 15) (dual of [(4195401, 2), 8390620, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(3183, 4197582, F3, 2, 15) (dual of [(4197582, 2), 8394981, 16]-NRT-code) | [i] | ||
| 29 | Linear OOA(3203, 4991463, F3, 2, 15) (dual of [(4991463, 2), 9982723, 16]-NRT-code) | [i] | ||
| 30 | Linear OOA(3204, 4991470, F3, 2, 15) (dual of [(4991470, 2), 9982736, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(3207, 6585786, F3, 2, 15) (dual of [(6585786, 2), 13171365, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(3208, 6585793, F3, 2, 15) (dual of [(6585793, 2), 13171378, 16]-NRT-code) | [i] | ||
| 33 | Linear OOA(3209, 6585794, F3, 2, 15) (dual of [(6585794, 2), 13171379, 16]-NRT-code) | [i] | ||
| 34 | Linear OOA(3167, 4194345, F3, 2, 15) (dual of [(4194345, 2), 8388523, 16]-NRT-code) | [i] | ||
| 35 | Linear OOA(3168, 4194352, F3, 2, 15) (dual of [(4194352, 2), 8388536, 16]-NRT-code) | [i] | ||
| 36 | Linear OOA(3169, 4194365, F3, 2, 15) (dual of [(4194365, 2), 8388561, 16]-NRT-code) | [i] | ||