Information on Result #5001
There is no OA(3159, 164, S3, 109), because the (dual) Plotkin bound shows that M ≥ 589881 151426 658740 854227 725580 736348 849310 352832 644300 781946 246613 899173 590427 / 55 > 3159
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 OOA(3161, 164, S3, 2, 111) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(3162, 164, S3, 2, 112) | [i] | ||
| 3 | No OOA(3163, 164, S3, 2, 113) | [i] | ||
| 4 | No OOA(3164, 164, S3, 2, 114) | [i] | ||
| 5 | No OOA(3165, 164, S3, 2, 115) | [i] | ||
| 6 | No OOA(3166, 164, S3, 2, 116) | [i] | ||
| 7 | No OOA(3167, 164, S3, 2, 117) | [i] | ||
| 8 | No OOA(3168, 164, S3, 2, 118) | [i] | ||
| 9 | No OOA(3169, 164, S3, 2, 119) | [i] | ||
| 10 | No OOA(3170, 164, S3, 2, 120) | [i] | ||
| 11 | No OOA(3171, 164, S3, 2, 121) | [i] | ||
| 12 | No OOA(3172, 164, S3, 2, 122) | [i] | ||
| 13 | No OOA(3173, 164, S3, 2, 123) | [i] | ||
| 14 | No OOA(3174, 164, S3, 2, 124) | [i] | ||
| 15 | No OOA(3175, 164, S3, 2, 125) | [i] | ||
| 16 | No OOA(3176, 164, S3, 2, 126) | [i] | ||
| 17 | No OOA(3177, 164, S3, 2, 127) | [i] | ||
| 18 | No OOA(3178, 164, S3, 2, 128) | [i] | ||
| 19 | No OOA(3179, 164, S3, 2, 129) | [i] | ||
| 20 | No OOA(3180, 164, S3, 2, 130) | [i] | ||
| 21 | No OOA(3181, 164, S3, 2, 131) | [i] | ||
| 22 | No OOA(3182, 164, S3, 2, 132) | [i] | ||
| 23 | No OOA(3183, 164, S3, 2, 133) | [i] | ||
| 24 | No OOA(3184, 164, S3, 2, 134) | [i] | ||
| 25 | No OOA(3185, 164, S3, 2, 135) | [i] | ||
| 26 | No OOA(3186, 164, S3, 2, 136) | [i] | ||
| 27 | No OOA(3187, 164, S3, 2, 137) | [i] | ||
| 28 | No OOA(3188, 164, S3, 2, 138) | [i] | ||
| 29 | No OOA(3189, 164, S3, 2, 139) | [i] | ||
| 30 | No OOA(3190, 164, S3, 2, 140) | [i] | ||
| 31 | No OOA(3191, 164, S3, 2, 141) | [i] | ||
| 32 | No OOA(3192, 164, S3, 2, 142) | [i] | ||
| 33 | No OOA(3193, 164, S3, 2, 143) | [i] | ||
| 34 | No OOA(3194, 164, S3, 2, 144) | [i] | ||
| 35 | No OOA(3195, 164, S3, 2, 145) | [i] | ||
| 36 | No OOA(3196, 164, S3, 2, 146) | [i] | ||
| 37 | No OOA(3197, 164, S3, 2, 147) | [i] | ||
| 38 | No OOA(3198, 164, S3, 2, 148) | [i] | ||
| 39 | No OOA(3199, 164, S3, 2, 149) | [i] | ||
| 40 | No OOA(3200, 164, S3, 2, 150) | [i] | ||
| 41 | No OOA(3201, 164, S3, 2, 151) | [i] | ||
| 42 | No OOA(3202, 164, S3, 2, 152) | [i] | ||
| 43 | No OOA(3203, 164, S3, 2, 153) | [i] | ||
| 44 | No OOA(3204, 164, S3, 2, 154) | [i] | ||
| 45 | No OOA(3205, 164, S3, 2, 155) | [i] | ||
| 46 | No OOA(3206, 164, S3, 2, 156) | [i] | ||
| 47 | No OOA(3207, 164, S3, 2, 157) | [i] | ||
| 48 | No OOA(3208, 164, S3, 2, 158) | [i] | ||
| 49 | No OOA(3209, 164, S3, 2, 159) | [i] | ||
| 50 | No OOA(3210, 164, S3, 2, 160) | [i] | ||
| 51 | No OOA(3211, 164, S3, 2, 161) | [i] | ||
| 52 | No OOA(3212, 164, S3, 2, 162) | [i] | ||
| 53 | No OOA(3213, 164, S3, 2, 163) | [i] | ||
| 54 | No OOA(3214, 164, S3, 2, 164) | [i] | ||
| 55 | No OOA(3215, 164, S3, 2, 165) | [i] | ||
| 56 | No OOA(3216, 164, S3, 2, 166) | [i] | ||
| 57 | No OOA(3217, 164, S3, 2, 167) | [i] | ||
| 58 | No OOA(3218, 164, S3, 2, 168) | [i] | ||
| 59 | No OOA(3219, 164, S3, 2, 169) | [i] | ||
| 60 | No OOA(3220, 164, S3, 2, 170) | [i] | ||
| 61 | No OOA(3221, 164, S3, 2, 171) | [i] | ||
| 62 | No OOA(3222, 164, S3, 2, 172) | [i] | ||
| 63 | No OOA(3223, 164, S3, 2, 173) | [i] | ||
| 64 | No OOA(3224, 164, S3, 2, 174) | [i] | ||
| 65 | No OOA(3225, 164, S3, 2, 175) | [i] | ||
| 66 | No OOA(3226, 164, S3, 2, 176) | [i] | ||
| 67 | No OOA(3227, 164, S3, 2, 177) | [i] | ||
| 68 | No OOA(3228, 164, S3, 2, 178) | [i] | ||
| 69 | No OOA(3229, 164, S3, 2, 179) | [i] | ||
| 70 | No OOA(3230, 164, S3, 2, 180) | [i] | ||
| 71 | No OOA(3231, 164, S3, 2, 181) | [i] | ||
| 72 | No OOA(3232, 164, S3, 2, 182) | [i] | ||
| 73 | No OOA(3233, 164, S3, 2, 183) | [i] | ||
| 74 | No OOA(3234, 164, S3, 2, 184) | [i] | ||
| 75 | No OOA(3235, 164, S3, 2, 185) | [i] | ||
| 76 | No OOA(3236, 164, S3, 2, 186) | [i] | ||
| 77 | No OOA(3237, 164, S3, 2, 187) | [i] | ||
| 78 | No OOA(3238, 164, S3, 2, 188) | [i] | ||
| 79 | No OOA(3239, 164, S3, 2, 189) | [i] | ||
| 80 | No OOA(3240, 164, S3, 2, 190) | [i] | ||
| 81 | No OOA(3241, 164, S3, 2, 191) | [i] | ||
| 82 | No OOA(3242, 164, S3, 2, 192) | [i] | ||
| 83 | No OOA(3159, 164, S3, 2, 109) | [i] | Depth Reduction | |
| 84 | No OOA(3159, 164, S3, 3, 109) | [i] | ||
| 85 | No OOA(3159, 164, S3, 4, 109) | [i] | ||
| 86 | No OOA(3159, 164, S3, 5, 109) | [i] | ||
| 87 | No (50, 159, 164)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |