Information on Result #59186
There is no OA(3100, 112, S3, 66), because the linear programming bound shows that M ≥ 337012 060714 431725 512045 406748 426703 296453 236034 239913 / 541025 > 3100
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(3101, 113, S3, 67) | [i] | Truncation | |
| 2 | No OOA(3101, 112, S3, 2, 67) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(3102, 112, S3, 2, 68) | [i] | ||
| 4 | No OOA(3105, 112, S3, 2, 71) | [i] | ||
| 5 | No OOA(3106, 112, S3, 2, 72) | [i] | ||
| 6 | No OOA(3107, 112, S3, 2, 73) | [i] | ||
| 7 | No OOA(3108, 112, S3, 2, 74) | [i] | ||
| 8 | No OOA(3109, 112, S3, 2, 75) | [i] | ||
| 9 | No OOA(3110, 112, S3, 2, 76) | [i] | ||
| 10 | No OOA(3111, 112, S3, 2, 77) | [i] | ||
| 11 | No OOA(3112, 112, S3, 2, 78) | [i] | ||
| 12 | No OOA(3113, 112, S3, 2, 79) | [i] | ||
| 13 | No OOA(3114, 112, S3, 2, 80) | [i] | ||
| 14 | No OOA(3115, 112, S3, 2, 81) | [i] | ||
| 15 | No OOA(3116, 112, S3, 2, 82) | [i] | ||
| 16 | No OOA(3117, 112, S3, 2, 83) | [i] | ||
| 17 | No OOA(3118, 112, S3, 2, 84) | [i] | ||
| 18 | No OOA(3119, 112, S3, 2, 85) | [i] | ||
| 19 | No OOA(3120, 112, S3, 2, 86) | [i] | ||
| 20 | No OOA(3121, 112, S3, 2, 87) | [i] | ||
| 21 | No OOA(3122, 112, S3, 2, 88) | [i] | ||
| 22 | No OOA(3123, 112, S3, 2, 89) | [i] | ||
| 23 | No OOA(3124, 112, S3, 2, 90) | [i] | ||
| 24 | No OOA(3125, 112, S3, 2, 91) | [i] | ||
| 25 | No OOA(3126, 112, S3, 2, 92) | [i] | ||
| 26 | No OOA(3127, 112, S3, 2, 93) | [i] | ||
| 27 | No OOA(3128, 112, S3, 2, 94) | [i] | ||
| 28 | No OOA(3129, 112, S3, 2, 95) | [i] | ||
| 29 | No OOA(3130, 112, S3, 2, 96) | [i] | ||
| 30 | No OOA(3131, 112, S3, 2, 97) | [i] | ||
| 31 | No OOA(3132, 112, S3, 2, 98) | [i] | ||
| 32 | No OOA(3133, 112, S3, 2, 99) | [i] | ||
| 33 | No OOA(3134, 112, S3, 2, 100) | [i] | ||
| 34 | No OOA(3135, 112, S3, 2, 101) | [i] | ||
| 35 | No OOA(3136, 112, S3, 2, 102) | [i] | ||
| 36 | No OOA(3137, 112, S3, 2, 103) | [i] | ||
| 37 | No OOA(3138, 112, S3, 2, 104) | [i] | ||
| 38 | No OOA(3139, 112, S3, 2, 105) | [i] | ||
| 39 | No OOA(3140, 112, S3, 2, 106) | [i] | ||
| 40 | No OOA(3141, 112, S3, 2, 107) | [i] | ||
| 41 | No OOA(3142, 112, S3, 2, 108) | [i] | ||
| 42 | No OOA(3143, 112, S3, 2, 109) | [i] | ||
| 43 | No OOA(3144, 112, S3, 2, 110) | [i] | ||
| 44 | No OOA(3145, 112, S3, 2, 111) | [i] | ||
| 45 | No OOA(3146, 112, S3, 2, 112) | [i] | ||
| 46 | No OOA(3147, 112, S3, 2, 113) | [i] | ||
| 47 | No OOA(3148, 112, S3, 2, 114) | [i] | ||
| 48 | No OOA(3149, 112, S3, 2, 115) | [i] | ||
| 49 | No OOA(3150, 112, S3, 2, 116) | [i] | ||
| 50 | No OOA(3151, 112, S3, 2, 117) | [i] | ||
| 51 | No OOA(3152, 112, S3, 2, 118) | [i] | ||
| 52 | No OOA(3153, 112, S3, 2, 119) | [i] | ||
| 53 | No OOA(3154, 112, S3, 2, 120) | [i] | ||
| 54 | No OOA(3155, 112, S3, 2, 121) | [i] | ||
| 55 | No OOA(3156, 112, S3, 2, 122) | [i] | ||
| 56 | No OOA(3157, 112, S3, 2, 123) | [i] | ||
| 57 | No OOA(3158, 112, S3, 2, 124) | [i] | ||
| 58 | No OOA(3159, 112, S3, 2, 125) | [i] | ||
| 59 | No OOA(3160, 112, S3, 2, 126) | [i] | ||
| 60 | No OOA(3161, 112, S3, 2, 127) | [i] | ||
| 61 | No OOA(3162, 112, S3, 2, 128) | [i] | ||
| 62 | No OOA(3163, 112, S3, 2, 129) | [i] | ||
| 63 | No OOA(3164, 112, S3, 2, 130) | [i] | ||
| 64 | No OOA(3165, 112, S3, 2, 131) | [i] | ||
| 65 | No OOA(3166, 112, S3, 2, 132) | [i] | ||
| 66 | No OOA(3167, 112, S3, 2, 133) | [i] | ||
| 67 | No OOA(3168, 112, S3, 2, 134) | [i] | ||
| 68 | No OOA(3100, 112, S3, 2, 66) | [i] | Depth Reduction | |
| 69 | No OOA(3100, 112, S3, 3, 66) | [i] | ||
| 70 | No OOA(3100, 112, S3, 4, 66) | [i] | ||
| 71 | No OOA(3100, 112, S3, 5, 66) | [i] | ||
| 72 | No (34, 100, 112)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |