Information on Result #59046
There is no OA(377, 85, S3, 52), because the linear programming bound shows that M ≥ 626561 627887 412368 936876 728064 858798 530639 / 100223 > 377
Mode: Bound.
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 OA(378, 86, S3, 53) | [i] | Truncation | |
| 2 | No OOA(378, 85, S3, 2, 53) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(379, 85, S3, 2, 54) | [i] | ||
| 4 | No OOA(380, 85, S3, 2, 55) | [i] | ||
| 5 | No OOA(381, 85, S3, 2, 56) | [i] | ||
| 6 | No OOA(382, 85, S3, 2, 57) | [i] | ||
| 7 | No OOA(383, 85, S3, 2, 58) | [i] | ||
| 8 | No OOA(384, 85, S3, 2, 59) | [i] | ||
| 9 | No OOA(385, 85, S3, 2, 60) | [i] | ||
| 10 | No OOA(386, 85, S3, 2, 61) | [i] | ||
| 11 | No OOA(387, 85, S3, 2, 62) | [i] | ||
| 12 | No OOA(388, 85, S3, 2, 63) | [i] | ||
| 13 | No OOA(389, 85, S3, 2, 64) | [i] | ||
| 14 | No OOA(390, 85, S3, 2, 65) | [i] | ||
| 15 | No OOA(391, 85, S3, 2, 66) | [i] | ||
| 16 | No OOA(392, 85, S3, 2, 67) | [i] | ||
| 17 | No OOA(393, 85, S3, 2, 68) | [i] | ||
| 18 | No OOA(394, 85, S3, 2, 69) | [i] | ||
| 19 | No OOA(395, 85, S3, 2, 70) | [i] | ||
| 20 | No OOA(396, 85, S3, 2, 71) | [i] | ||
| 21 | No OOA(397, 85, S3, 2, 72) | [i] | ||
| 22 | No OOA(398, 85, S3, 2, 73) | [i] | ||
| 23 | No OOA(399, 85, S3, 2, 74) | [i] | ||
| 24 | No OOA(3100, 85, S3, 2, 75) | [i] | ||
| 25 | No OOA(3101, 85, S3, 2, 76) | [i] | ||
| 26 | No OOA(3102, 85, S3, 2, 77) | [i] | ||
| 27 | No OOA(3103, 85, S3, 2, 78) | [i] | ||
| 28 | No OOA(3104, 85, S3, 2, 79) | [i] | ||
| 29 | No OOA(3105, 85, S3, 2, 80) | [i] | ||
| 30 | No OOA(3106, 85, S3, 2, 81) | [i] | ||
| 31 | No OOA(3107, 85, S3, 2, 82) | [i] | ||
| 32 | No OOA(3108, 85, S3, 2, 83) | [i] | ||
| 33 | No OOA(3109, 85, S3, 2, 84) | [i] | ||
| 34 | No OOA(3110, 85, S3, 2, 85) | [i] | ||
| 35 | No OOA(3111, 85, S3, 2, 86) | [i] | ||
| 36 | No OOA(3112, 85, S3, 2, 87) | [i] | ||
| 37 | No OOA(3113, 85, S3, 2, 88) | [i] | ||
| 38 | No OOA(3114, 85, S3, 2, 89) | [i] | ||
| 39 | No OOA(3115, 85, S3, 2, 90) | [i] | ||
| 40 | No OOA(3116, 85, S3, 2, 91) | [i] | ||
| 41 | No OOA(3117, 85, S3, 2, 92) | [i] | ||
| 42 | No OOA(3118, 85, S3, 2, 93) | [i] | ||
| 43 | No OOA(3119, 85, S3, 2, 94) | [i] | ||
| 44 | No OOA(3120, 85, S3, 2, 95) | [i] | ||
| 45 | No OOA(3121, 85, S3, 2, 96) | [i] | ||
| 46 | No OOA(3122, 85, S3, 2, 97) | [i] | ||
| 47 | No OOA(3123, 85, S3, 2, 98) | [i] | ||
| 48 | No OOA(3124, 85, S3, 2, 99) | [i] | ||
| 49 | No OOA(3125, 85, S3, 2, 100) | [i] | ||
| 50 | No OOA(3126, 85, S3, 2, 101) | [i] | ||
| 51 | No OOA(3127, 85, S3, 2, 102) | [i] | ||
| 52 | No OOA(377, 85, S3, 2, 52) | [i] | Depth Reduction | |
| 53 | No OOA(377, 85, S3, 3, 52) | [i] | ||
| 54 | No OOA(377, 85, S3, 4, 52) | [i] | ||
| 55 | No OOA(377, 85, S3, 5, 52) | [i] | ||
| 56 | No (25, 77, 85)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 57 | No linear OA(3233, 242, F3, 156) (dual of [242, 9, 157]-code) | [i] | Residual Code | |