Information on Result #547838
There is no linear OA(463, 68, F4, 48) (dual of [68, 5, 49]-code), because construction Y1 would yield
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(464, 69, F4, 49) (dual of [69, 5, 50]-code) | [i] | Truncation | |
| 2 | No linear OA(465, 70, F4, 50) (dual of [70, 5, 51]-code) | [i] | ||
| 3 | No linear OA(466, 71, F4, 51) (dual of [71, 5, 52]-code) | [i] | ||
| 4 | No linear OOA(464, 68, F4, 2, 49) (dual of [(68, 2), 72, 50]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(465, 68, F4, 2, 50) (dual of [(68, 2), 71, 51]-NRT-code) | [i] | ||
| 6 | No linear OOA(466, 68, F4, 2, 51) (dual of [(68, 2), 70, 52]-NRT-code) | [i] | ||
| 7 | No linear OOA(467, 68, F4, 2, 52) (dual of [(68, 2), 69, 53]-NRT-code) | [i] | ||
| 8 | No linear OOA(468, 68, F4, 2, 53) (dual of [(68, 2), 68, 54]-NRT-code) | [i] | ||
| 9 | No linear OOA(469, 68, F4, 2, 54) (dual of [(68, 2), 67, 55]-NRT-code) | [i] | ||
| 10 | No linear OOA(470, 68, F4, 2, 55) (dual of [(68, 2), 66, 56]-NRT-code) | [i] | ||
| 11 | No linear OOA(471, 68, F4, 2, 56) (dual of [(68, 2), 65, 57]-NRT-code) | [i] | ||
| 12 | No linear OOA(472, 68, F4, 2, 57) (dual of [(68, 2), 64, 58]-NRT-code) | [i] | ||
| 13 | No linear OOA(473, 68, F4, 2, 58) (dual of [(68, 2), 63, 59]-NRT-code) | [i] | ||
| 14 | No linear OOA(474, 68, F4, 2, 59) (dual of [(68, 2), 62, 60]-NRT-code) | [i] | ||
| 15 | No linear OOA(475, 68, F4, 2, 60) (dual of [(68, 2), 61, 61]-NRT-code) | [i] | ||
| 16 | No linear OOA(476, 68, F4, 2, 61) (dual of [(68, 2), 60, 62]-NRT-code) | [i] | ||
| 17 | No linear OOA(477, 68, F4, 2, 62) (dual of [(68, 2), 59, 63]-NRT-code) | [i] | ||
| 18 | No linear OOA(478, 68, F4, 2, 63) (dual of [(68, 2), 58, 64]-NRT-code) | [i] | ||
| 19 | No linear OOA(479, 68, F4, 2, 64) (dual of [(68, 2), 57, 65]-NRT-code) | [i] | ||
| 20 | No linear OOA(480, 68, F4, 2, 65) (dual of [(68, 2), 56, 66]-NRT-code) | [i] | ||
| 21 | No linear OOA(481, 68, F4, 2, 66) (dual of [(68, 2), 55, 67]-NRT-code) | [i] | ||
| 22 | No linear OOA(482, 68, F4, 2, 67) (dual of [(68, 2), 54, 68]-NRT-code) | [i] | ||
| 23 | No linear OOA(483, 68, F4, 2, 68) (dual of [(68, 2), 53, 69]-NRT-code) | [i] | ||
| 24 | No linear OOA(484, 68, F4, 2, 69) (dual of [(68, 2), 52, 70]-NRT-code) | [i] | ||
| 25 | No linear OOA(485, 68, F4, 2, 70) (dual of [(68, 2), 51, 71]-NRT-code) | [i] | ||
| 26 | No linear OOA(486, 68, F4, 2, 71) (dual of [(68, 2), 50, 72]-NRT-code) | [i] | ||
| 27 | No linear OOA(487, 68, F4, 2, 72) (dual of [(68, 2), 49, 73]-NRT-code) | [i] | ||
| 28 | No linear OOA(488, 68, F4, 2, 73) (dual of [(68, 2), 48, 74]-NRT-code) | [i] | ||
| 29 | No linear OOA(489, 68, F4, 2, 74) (dual of [(68, 2), 47, 75]-NRT-code) | [i] | ||
| 30 | No linear OOA(490, 68, F4, 2, 75) (dual of [(68, 2), 46, 76]-NRT-code) | [i] | ||
| 31 | No linear OOA(491, 68, F4, 2, 76) (dual of [(68, 2), 45, 77]-NRT-code) | [i] | ||
| 32 | No linear OOA(492, 68, F4, 2, 77) (dual of [(68, 2), 44, 78]-NRT-code) | [i] | ||
| 33 | No linear OOA(493, 68, F4, 2, 78) (dual of [(68, 2), 43, 79]-NRT-code) | [i] | ||
| 34 | No linear OOA(494, 68, F4, 2, 79) (dual of [(68, 2), 42, 80]-NRT-code) | [i] | ||
| 35 | No linear OOA(495, 68, F4, 2, 80) (dual of [(68, 2), 41, 81]-NRT-code) | [i] | ||
| 36 | No linear OOA(496, 68, F4, 2, 81) (dual of [(68, 2), 40, 82]-NRT-code) | [i] | ||
| 37 | No linear OOA(497, 68, F4, 2, 82) (dual of [(68, 2), 39, 83]-NRT-code) | [i] | ||
| 38 | No linear OOA(498, 68, F4, 2, 83) (dual of [(68, 2), 38, 84]-NRT-code) | [i] | ||
| 39 | No linear OOA(499, 68, F4, 2, 84) (dual of [(68, 2), 37, 85]-NRT-code) | [i] | ||
| 40 | No linear OOA(4100, 68, F4, 2, 85) (dual of [(68, 2), 36, 86]-NRT-code) | [i] | ||
| 41 | No linear OOA(4101, 68, F4, 2, 86) (dual of [(68, 2), 35, 87]-NRT-code) | [i] | ||
| 42 | No linear OOA(4102, 68, F4, 2, 87) (dual of [(68, 2), 34, 88]-NRT-code) | [i] | ||
| 43 | No linear OOA(4103, 68, F4, 2, 88) (dual of [(68, 2), 33, 89]-NRT-code) | [i] | ||
| 44 | No linear OOA(4104, 68, F4, 2, 89) (dual of [(68, 2), 32, 90]-NRT-code) | [i] | ||
| 45 | No linear OOA(4105, 68, F4, 2, 90) (dual of [(68, 2), 31, 91]-NRT-code) | [i] | ||
| 46 | No linear OOA(4106, 68, F4, 2, 91) (dual of [(68, 2), 30, 92]-NRT-code) | [i] | ||
| 47 | No linear OOA(4107, 68, F4, 2, 92) (dual of [(68, 2), 29, 93]-NRT-code) | [i] | ||
| 48 | No linear OOA(4108, 68, F4, 2, 93) (dual of [(68, 2), 28, 94]-NRT-code) | [i] | ||
| 49 | No linear OOA(4109, 68, F4, 2, 94) (dual of [(68, 2), 27, 95]-NRT-code) | [i] | ||
| 50 | No linear OOA(4110, 68, F4, 2, 95) (dual of [(68, 2), 26, 96]-NRT-code) | [i] | ||
| 51 | No linear OOA(4111, 68, F4, 2, 96) (dual of [(68, 2), 25, 97]-NRT-code) | [i] | ||
| 52 | No linear OOA(4112, 68, F4, 2, 97) (dual of [(68, 2), 24, 98]-NRT-code) | [i] | ||
| 53 | No linear OOA(4113, 68, F4, 2, 98) (dual of [(68, 2), 23, 99]-NRT-code) | [i] | ||
| 54 | No linear OOA(463, 68, F4, 2, 48) (dual of [(68, 2), 73, 49]-NRT-code) | [i] | Depth Reduction | |
| 55 | No linear OOA(463, 68, F4, 3, 48) (dual of [(68, 3), 141, 49]-NRT-code) | [i] | ||
| 56 | No digital (15, 63, 68)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |