Information on Result #994142
Linear OOA(418, large, F4, 3, 3), using appending kth column based on linear OOA(418, large, F4, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(418, large, F4, 3) (dual of [large, large−18, 4]-code), using
- product of projective cap with (hyper)oval [i] based on linear OA(416, 1850766, F4, 3) (dual of [1850766, 1850750, 4]-code or 1850766-cap in PG(15,4)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(421, large, F4, 3, 3) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(424, large, F4, 3, 3) | [i] | ||
| 3 | Linear OOA(427, large, F4, 3, 3) | [i] | ||
| 4 | Linear OOA(430, large, F4, 3, 3) | [i] | ||
| 5 | Linear OOA(433, large, F4, 3, 3) | [i] | ||
| 6 | Linear OOA(436, large, F4, 3, 3) | [i] | ||
| 7 | Linear OOA(439, large, F4, 3, 3) | [i] | ||
| 8 | Linear OOA(442, large, F4, 3, 3) | [i] | ||
| 9 | Linear OOA(445, large, F4, 3, 3) | [i] | ||
| 10 | Linear OOA(451, large, F4, 3, 3) | [i] | ||
| 11 | Linear OOA(454, large, F4, 3, 3) | [i] | ||
| 12 | Linear OOA(457, large, F4, 3, 3) | [i] | ||
| 13 | Linear OOA(460, large, F4, 3, 3) | [i] | ||
| 14 | Linear OOA(466, large, F4, 3, 3) | [i] | ||
| 15 | Linear OOA(469, large, F4, 3, 3) | [i] | ||
| 16 | Linear OOA(472, large, F4, 3, 3) | [i] | ||
| 17 | Linear OOA(478, large, F4, 3, 3) | [i] | ||
| 18 | Linear OOA(481, large, F4, 3, 3) | [i] | ||
| 19 | Linear OOA(484, large, F4, 3, 3) | [i] | ||
| 20 | Linear OOA(490, large, F4, 3, 3) | [i] | ||
| 21 | Linear OOA(493, large, F4, 3, 3) | [i] | ||
| 22 | Linear OOA(496, large, F4, 3, 3) | [i] | ||
| 23 | Linear OOA(4102, large, F4, 3, 3) | [i] | ||
| 24 | Linear OOA(4105, large, F4, 3, 3) | [i] | ||
| 25 | Linear OOA(4108, large, F4, 3, 3) | [i] | ||
| 26 | Linear OOA(4114, large, F4, 3, 3) | [i] | ||
| 27 | Linear OOA(4117, large, F4, 3, 3) | [i] | ||
| 28 | Linear OOA(4120, large, F4, 3, 3) | [i] | ||
| 29 | Linear OOA(4126, large, F4, 3, 3) | [i] | ||
| 30 | Linear OOA(4129, large, F4, 3, 3) | [i] | ||
| 31 | Linear OOA(4132, large, F4, 3, 3) | [i] | ||
| 32 | Linear OOA(4138, large, F4, 3, 3) | [i] | ||
| 33 | Linear OOA(4141, large, F4, 3, 3) | [i] | ||
| 34 | Linear OOA(4144, large, F4, 3, 3) | [i] | ||
| 35 | Linear OOA(4150, large, F4, 3, 3) | [i] | ||
| 36 | Linear OOA(4153, large, F4, 3, 3) | [i] | ||
| 37 | Linear OOA(4156, large, F4, 3, 3) | [i] | ||
| 38 | Linear OOA(4162, large, F4, 3, 3) | [i] | ||
| 39 | Linear OOA(4165, large, F4, 3, 3) | [i] | ||
| 40 | Linear OOA(4168, large, F4, 3, 3) | [i] | ||
| 41 | Linear OOA(4174, large, F4, 3, 3) | [i] | ||
| 42 | Linear OOA(4177, large, F4, 3, 3) | [i] | ||
| 43 | Linear OOA(4180, large, F4, 3, 3) | [i] | ||
| 44 | Linear OOA(4186, large, F4, 3, 3) | [i] | ||
| 45 | Linear OOA(4189, large, F4, 3, 3) | [i] | ||
| 46 | Linear OOA(4192, large, F4, 3, 3) | [i] | ||
| 47 | Linear OOA(4198, large, F4, 3, 3) | [i] | ||
| 48 | Linear OOA(4201, large, F4, 3, 3) | [i] | ||
| 49 | Linear OOA(4204, large, F4, 3, 3) | [i] | ||
| 50 | Linear OOA(4210, large, F4, 3, 3) | [i] | ||
| 51 | Linear OOA(4213, large, F4, 3, 3) | [i] | ||
| 52 | Linear OOA(4216, large, F4, 3, 3) | [i] | ||
| 53 | Linear OOA(4222, large, F4, 3, 3) | [i] | ||
| 54 | Linear OOA(4225, large, F4, 3, 3) | [i] | ||
| 55 | Linear OOA(4228, large, F4, 3, 3) | [i] | ||
| 56 | Linear OOA(4234, large, F4, 3, 3) | [i] | ||
| 57 | Linear OOA(4237, large, F4, 3, 3) | [i] | ||
| 58 | Linear OOA(4240, large, F4, 3, 3) | [i] | ||
| 59 | Linear OOA(4246, large, F4, 3, 3) | [i] | ||
| 60 | Linear OOA(4249, large, F4, 3, 3) | [i] | ||
| 61 | Linear OOA(4252, large, F4, 3, 3) | [i] | ||
| 62 | Linear OOA(4258, large, F4, 3, 3) | [i] | ||
| 63 | Linear OOA(419, large, F4, 3, 3) | [i] | OOA Duplication | |
| 64 | Linear OOA(420, large, F4, 3, 3) | [i] | ||
| 65 | Digital (15, 18, large)-net over F4 | [i] | Net Defined by OOA | |