Information on Result #1100854
Linear OOA(3180, 4194301, F3, 5, 12) (dual of [(4194301, 5), 20971325, 13]-NRT-code), using OOA 2-folding based on linear OOA(3180, 8388602, F3, 3, 12) (dual of [(8388602, 3), 25165626, 13]-NRT-code), using
- trace code [i] based on linear OOA(990, 4194301, F9, 3, 12) (dual of [(4194301, 3), 12582813, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(990, 8388602, F9, 2, 12) (dual of [(8388602, 2), 16777114, 13]-NRT-code), using
- trace code [i] based on linear OOA(8145, 4194301, F81, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8145, 8388602, F81, 12) (dual of [8388602, 8388557, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- OOA 2-folding [i] based on linear OA(8145, 8388602, F81, 12) (dual of [8388602, 8388557, 13]-code), using
- trace code [i] based on linear OOA(8145, 4194301, F81, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(990, 8388602, F9, 2, 12) (dual of [(8388602, 2), 16777114, 13]-NRT-code), using
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(3186, 4194305, F3, 5, 12) (dual of [(4194305, 5), 20971339, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3187, 4194308, F3, 5, 12) (dual of [(4194308, 5), 20971353, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3188, 4194310, F3, 5, 12) (dual of [(4194310, 5), 20971362, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3189, 4194314, F3, 5, 12) (dual of [(4194314, 5), 20971381, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(3190, 4194320, F3, 5, 12) (dual of [(4194320, 5), 20971410, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(3191, 4194326, F3, 5, 12) (dual of [(4194326, 5), 20971439, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(3192, 4194334, F3, 5, 12) (dual of [(4194334, 5), 20971478, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(3193, 4194343, F3, 5, 12) (dual of [(4194343, 5), 20971522, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(3196, 4194347, F3, 5, 12) (dual of [(4194347, 5), 20971539, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(3197, 4194354, F3, 5, 12) (dual of [(4194354, 5), 20971573, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(3198, 4194385, F3, 5, 12) (dual of [(4194385, 5), 20971727, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(3200, 4194391, F3, 5, 12) (dual of [(4194391, 5), 20971755, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(3201, 4194415, F3, 5, 12) (dual of [(4194415, 5), 20971874, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(3202, 4194465, F3, 5, 12) (dual of [(4194465, 5), 20972123, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(3204, 4194629, F3, 5, 12) (dual of [(4194629, 5), 20972941, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(3207, 4194665, F3, 5, 12) (dual of [(4194665, 5), 20973118, 13]-NRT-code) | [i] | ||
| 17 | Linear OOA(3208, 4195030, F3, 5, 12) (dual of [(4195030, 5), 20974942, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(3209, 4195032, F3, 5, 12) (dual of [(4195032, 5), 20974951, 13]-NRT-code) | [i] | ||
| 19 | Linear OOA(3210, 4195035, F3, 5, 12) (dual of [(4195035, 5), 20974965, 13]-NRT-code) | [i] | ||
| 20 | Linear OOA(3212, 4196488, F3, 5, 12) (dual of [(4196488, 5), 20982228, 13]-NRT-code) | [i] | ||
| 21 | Linear OOA(3213, 4196491, F3, 5, 12) (dual of [(4196491, 5), 20982242, 13]-NRT-code) | [i] | ||
| 22 | Linear OOA(3214, 4196494, F3, 5, 12) (dual of [(4196494, 5), 20982256, 13]-NRT-code) | [i] | ||
| 23 | Linear OOA(3215, 4197581, F3, 5, 12) (dual of [(4197581, 5), 20987690, 13]-NRT-code) | [i] | ||
| 24 | Linear OOA(3216, 4200862, F3, 5, 12) (dual of [(4200862, 5), 21004094, 13]-NRT-code) | [i] | ||
| 25 | Linear OOA(3217, 4200865, F3, 5, 12) (dual of [(4200865, 5), 21004108, 13]-NRT-code) | [i] | ||
| 26 | Linear OOA(3240, 6990502, F3, 5, 12) (dual of [(6990502, 5), 34952270, 13]-NRT-code) | [i] | ||
| 27 | Linear OOA(3243, 6990506, F3, 5, 12) (dual of [(6990506, 5), 34952287, 13]-NRT-code) | [i] | ||
| 28 | Linear OOA(3244, 6990512, F3, 5, 12) (dual of [(6990512, 5), 34952316, 13]-NRT-code) | [i] | ||
| 29 | Linear OOA(3245, 6990522, F3, 5, 12) (dual of [(6990522, 5), 34952365, 13]-NRT-code) | [i] | ||
| 30 | Linear OOA(3246, 6990558, F3, 5, 12) (dual of [(6990558, 5), 34952544, 13]-NRT-code) | [i] | ||
| 31 | Linear OOA(3247, 6990614, F3, 5, 12) (dual of [(6990614, 5), 34952823, 13]-NRT-code) | [i] | ||
| 32 | Linear OOA(3248, 6990750, F3, 5, 12) (dual of [(6990750, 5), 34953502, 13]-NRT-code) | [i] | ||
| 33 | Linear OOA(3249, 6991034, F3, 5, 12) (dual of [(6991034, 5), 34954921, 13]-NRT-code) | [i] | ||
| 34 | Linear OOA(3250, 6991718, F3, 5, 12) (dual of [(6991718, 5), 34958340, 13]-NRT-code) | [i] | ||