Information on Result #548228
There is no linear OA(375, 81, F3, 51) (dual of [81, 6, 52]-code), because “Ma†bound on codes from Brouwer’s database
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(376, 82, F3, 52) (dual of [82, 6, 53]-code) | [i] | Truncation | |
| 2 | No linear OA(377, 83, F3, 53) (dual of [83, 6, 54]-code) | [i] | ||
| 3 | No linear OOA(376, 81, F3, 2, 52) (dual of [(81, 2), 86, 53]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(377, 81, F3, 2, 53) (dual of [(81, 2), 85, 54]-NRT-code) | [i] | ||
| 5 | No linear OOA(378, 81, F3, 2, 54) (dual of [(81, 2), 84, 55]-NRT-code) | [i] | ||
| 6 | No linear OOA(379, 81, F3, 2, 55) (dual of [(81, 2), 83, 56]-NRT-code) | [i] | ||
| 7 | No linear OOA(380, 81, F3, 2, 56) (dual of [(81, 2), 82, 57]-NRT-code) | [i] | ||
| 8 | No linear OOA(381, 81, F3, 2, 57) (dual of [(81, 2), 81, 58]-NRT-code) | [i] | ||
| 9 | No linear OOA(382, 81, F3, 2, 58) (dual of [(81, 2), 80, 59]-NRT-code) | [i] | ||
| 10 | No linear OOA(383, 81, F3, 2, 59) (dual of [(81, 2), 79, 60]-NRT-code) | [i] | ||
| 11 | No linear OOA(384, 81, F3, 2, 60) (dual of [(81, 2), 78, 61]-NRT-code) | [i] | ||
| 12 | No linear OOA(385, 81, F3, 2, 61) (dual of [(81, 2), 77, 62]-NRT-code) | [i] | ||
| 13 | No linear OOA(386, 81, F3, 2, 62) (dual of [(81, 2), 76, 63]-NRT-code) | [i] | ||
| 14 | No linear OOA(387, 81, F3, 2, 63) (dual of [(81, 2), 75, 64]-NRT-code) | [i] | ||
| 15 | No linear OOA(388, 81, F3, 2, 64) (dual of [(81, 2), 74, 65]-NRT-code) | [i] | ||
| 16 | No linear OOA(389, 81, F3, 2, 65) (dual of [(81, 2), 73, 66]-NRT-code) | [i] | ||
| 17 | No linear OOA(390, 81, F3, 2, 66) (dual of [(81, 2), 72, 67]-NRT-code) | [i] | ||
| 18 | No linear OOA(391, 81, F3, 2, 67) (dual of [(81, 2), 71, 68]-NRT-code) | [i] | ||
| 19 | No linear OOA(392, 81, F3, 2, 68) (dual of [(81, 2), 70, 69]-NRT-code) | [i] | ||
| 20 | No linear OOA(393, 81, F3, 2, 69) (dual of [(81, 2), 69, 70]-NRT-code) | [i] | ||
| 21 | No linear OOA(394, 81, F3, 2, 70) (dual of [(81, 2), 68, 71]-NRT-code) | [i] | ||
| 22 | No linear OOA(395, 81, F3, 2, 71) (dual of [(81, 2), 67, 72]-NRT-code) | [i] | ||
| 23 | No linear OOA(396, 81, F3, 2, 72) (dual of [(81, 2), 66, 73]-NRT-code) | [i] | ||
| 24 | No linear OOA(397, 81, F3, 2, 73) (dual of [(81, 2), 65, 74]-NRT-code) | [i] | ||
| 25 | No linear OOA(398, 81, F3, 2, 74) (dual of [(81, 2), 64, 75]-NRT-code) | [i] | ||
| 26 | No linear OOA(399, 81, F3, 2, 75) (dual of [(81, 2), 63, 76]-NRT-code) | [i] | ||
| 27 | No linear OOA(3100, 81, F3, 2, 76) (dual of [(81, 2), 62, 77]-NRT-code) | [i] | ||
| 28 | No linear OOA(3101, 81, F3, 2, 77) (dual of [(81, 2), 61, 78]-NRT-code) | [i] | ||
| 29 | No linear OOA(3102, 81, F3, 2, 78) (dual of [(81, 2), 60, 79]-NRT-code) | [i] | ||
| 30 | No linear OOA(3103, 81, F3, 2, 79) (dual of [(81, 2), 59, 80]-NRT-code) | [i] | ||
| 31 | No linear OOA(3104, 81, F3, 2, 80) (dual of [(81, 2), 58, 81]-NRT-code) | [i] | ||
| 32 | No linear OOA(3105, 81, F3, 2, 81) (dual of [(81, 2), 57, 82]-NRT-code) | [i] | ||
| 33 | No linear OOA(3106, 81, F3, 2, 82) (dual of [(81, 2), 56, 83]-NRT-code) | [i] | ||
| 34 | No linear OOA(3107, 81, F3, 2, 83) (dual of [(81, 2), 55, 84]-NRT-code) | [i] | ||
| 35 | No linear OOA(3108, 81, F3, 2, 84) (dual of [(81, 2), 54, 85]-NRT-code) | [i] | ||
| 36 | No linear OOA(3109, 81, F3, 2, 85) (dual of [(81, 2), 53, 86]-NRT-code) | [i] | ||
| 37 | No linear OOA(3110, 81, F3, 2, 86) (dual of [(81, 2), 52, 87]-NRT-code) | [i] | ||
| 38 | No linear OOA(3111, 81, F3, 2, 87) (dual of [(81, 2), 51, 88]-NRT-code) | [i] | ||
| 39 | No linear OOA(3112, 81, F3, 2, 88) (dual of [(81, 2), 50, 89]-NRT-code) | [i] | ||
| 40 | No linear OOA(3113, 81, F3, 2, 89) (dual of [(81, 2), 49, 90]-NRT-code) | [i] | ||
| 41 | No linear OOA(3114, 81, F3, 2, 90) (dual of [(81, 2), 48, 91]-NRT-code) | [i] | ||
| 42 | No linear OOA(3115, 81, F3, 2, 91) (dual of [(81, 2), 47, 92]-NRT-code) | [i] | ||
| 43 | No linear OOA(3116, 81, F3, 2, 92) (dual of [(81, 2), 46, 93]-NRT-code) | [i] | ||
| 44 | No linear OOA(3117, 81, F3, 2, 93) (dual of [(81, 2), 45, 94]-NRT-code) | [i] | ||
| 45 | No linear OOA(3118, 81, F3, 2, 94) (dual of [(81, 2), 44, 95]-NRT-code) | [i] | ||
| 46 | No linear OOA(3119, 81, F3, 2, 95) (dual of [(81, 2), 43, 96]-NRT-code) | [i] | ||
| 47 | No linear OOA(3120, 81, F3, 2, 96) (dual of [(81, 2), 42, 97]-NRT-code) | [i] | ||
| 48 | No linear OOA(3121, 81, F3, 2, 97) (dual of [(81, 2), 41, 98]-NRT-code) | [i] | ||
| 49 | No linear OOA(3122, 81, F3, 2, 98) (dual of [(81, 2), 40, 99]-NRT-code) | [i] | ||
| 50 | No linear OOA(375, 81, F3, 2, 51) (dual of [(81, 2), 87, 52]-NRT-code) | [i] | Depth Reduction | |
| 51 | No linear OOA(375, 81, F3, 3, 51) (dual of [(81, 3), 168, 52]-NRT-code) | [i] | ||
| 52 | No linear OOA(375, 81, F3, 4, 51) (dual of [(81, 4), 249, 52]-NRT-code) | [i] | ||
| 53 | No linear OOA(375, 81, F3, 5, 51) (dual of [(81, 5), 330, 52]-NRT-code) | [i] | ||
| 54 | No digital (24, 75, 81)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 55 | No linear OA(3228, 235, F3, 153) (dual of [235, 7, 154]-code) | [i] | Residual Code | |