Information on Result #548464
There is no linear OA(3174, 180, F3, 117) (dual of [180, 6, 118]-code), because residual code would yield linear OA(357, 62, F3, 39) (dual of [62, 5, 40]-code), but
- residual code [i] would yield linear OA(318, 22, F3, 13) (dual of [22, 4, 14]-code), but
- 1 times truncation [i] would yield linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-code), but
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(3175, 181, F3, 118) (dual of [181, 6, 119]-code) | [i] | Truncation | |
| 2 | No linear OA(3176, 182, F3, 119) (dual of [182, 6, 120]-code) | [i] | ||
| 3 | No linear OOA(3175, 180, F3, 2, 118) (dual of [(180, 2), 185, 119]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3176, 180, F3, 2, 119) (dual of [(180, 2), 184, 120]-NRT-code) | [i] | ||
| 5 | No linear OOA(3177, 180, F3, 2, 120) (dual of [(180, 2), 183, 121]-NRT-code) | [i] | ||
| 6 | No linear OOA(3178, 180, F3, 2, 121) (dual of [(180, 2), 182, 122]-NRT-code) | [i] | ||
| 7 | No linear OOA(3179, 180, F3, 2, 122) (dual of [(180, 2), 181, 123]-NRT-code) | [i] | ||
| 8 | No linear OOA(3180, 180, F3, 2, 123) (dual of [(180, 2), 180, 124]-NRT-code) | [i] | ||
| 9 | No linear OOA(3181, 180, F3, 2, 124) (dual of [(180, 2), 179, 125]-NRT-code) | [i] | ||
| 10 | No linear OOA(3182, 180, F3, 2, 125) (dual of [(180, 2), 178, 126]-NRT-code) | [i] | ||
| 11 | No linear OOA(3183, 180, F3, 2, 126) (dual of [(180, 2), 177, 127]-NRT-code) | [i] | ||
| 12 | No linear OOA(3184, 180, F3, 2, 127) (dual of [(180, 2), 176, 128]-NRT-code) | [i] | ||
| 13 | No linear OOA(3185, 180, F3, 2, 128) (dual of [(180, 2), 175, 129]-NRT-code) | [i] | ||
| 14 | No linear OOA(3186, 180, F3, 2, 129) (dual of [(180, 2), 174, 130]-NRT-code) | [i] | ||
| 15 | No linear OOA(3187, 180, F3, 2, 130) (dual of [(180, 2), 173, 131]-NRT-code) | [i] | ||
| 16 | No linear OOA(3188, 180, F3, 2, 131) (dual of [(180, 2), 172, 132]-NRT-code) | [i] | ||
| 17 | No linear OOA(3189, 180, F3, 2, 132) (dual of [(180, 2), 171, 133]-NRT-code) | [i] | ||
| 18 | No linear OOA(3190, 180, F3, 2, 133) (dual of [(180, 2), 170, 134]-NRT-code) | [i] | ||
| 19 | No linear OOA(3191, 180, F3, 2, 134) (dual of [(180, 2), 169, 135]-NRT-code) | [i] | ||
| 20 | No linear OOA(3192, 180, F3, 2, 135) (dual of [(180, 2), 168, 136]-NRT-code) | [i] | ||
| 21 | No linear OOA(3193, 180, F3, 2, 136) (dual of [(180, 2), 167, 137]-NRT-code) | [i] | ||
| 22 | No linear OOA(3194, 180, F3, 2, 137) (dual of [(180, 2), 166, 138]-NRT-code) | [i] | ||
| 23 | No linear OOA(3195, 180, F3, 2, 138) (dual of [(180, 2), 165, 139]-NRT-code) | [i] | ||
| 24 | No linear OOA(3196, 180, F3, 2, 139) (dual of [(180, 2), 164, 140]-NRT-code) | [i] | ||
| 25 | No linear OOA(3197, 180, F3, 2, 140) (dual of [(180, 2), 163, 141]-NRT-code) | [i] | ||
| 26 | No linear OOA(3198, 180, F3, 2, 141) (dual of [(180, 2), 162, 142]-NRT-code) | [i] | ||
| 27 | No linear OOA(3199, 180, F3, 2, 142) (dual of [(180, 2), 161, 143]-NRT-code) | [i] | ||
| 28 | No linear OOA(3200, 180, F3, 2, 143) (dual of [(180, 2), 160, 144]-NRT-code) | [i] | ||
| 29 | No linear OOA(3201, 180, F3, 2, 144) (dual of [(180, 2), 159, 145]-NRT-code) | [i] | ||
| 30 | No linear OOA(3202, 180, F3, 2, 145) (dual of [(180, 2), 158, 146]-NRT-code) | [i] | ||
| 31 | No linear OOA(3203, 180, F3, 2, 146) (dual of [(180, 2), 157, 147]-NRT-code) | [i] | ||
| 32 | No linear OOA(3204, 180, F3, 2, 147) (dual of [(180, 2), 156, 148]-NRT-code) | [i] | ||
| 33 | No linear OOA(3205, 180, F3, 2, 148) (dual of [(180, 2), 155, 149]-NRT-code) | [i] | ||
| 34 | No linear OOA(3206, 180, F3, 2, 149) (dual of [(180, 2), 154, 150]-NRT-code) | [i] | ||
| 35 | No linear OOA(3207, 180, F3, 2, 150) (dual of [(180, 2), 153, 151]-NRT-code) | [i] | ||
| 36 | No linear OOA(3208, 180, F3, 2, 151) (dual of [(180, 2), 152, 152]-NRT-code) | [i] | ||
| 37 | No linear OOA(3209, 180, F3, 2, 152) (dual of [(180, 2), 151, 153]-NRT-code) | [i] | ||
| 38 | No linear OOA(3210, 180, F3, 2, 153) (dual of [(180, 2), 150, 154]-NRT-code) | [i] | ||
| 39 | No linear OOA(3211, 180, F3, 2, 154) (dual of [(180, 2), 149, 155]-NRT-code) | [i] | ||
| 40 | No linear OOA(3212, 180, F3, 2, 155) (dual of [(180, 2), 148, 156]-NRT-code) | [i] | ||
| 41 | No linear OOA(3213, 180, F3, 2, 156) (dual of [(180, 2), 147, 157]-NRT-code) | [i] | ||
| 42 | No linear OOA(3214, 180, F3, 2, 157) (dual of [(180, 2), 146, 158]-NRT-code) | [i] | ||
| 43 | No linear OOA(3215, 180, F3, 2, 158) (dual of [(180, 2), 145, 159]-NRT-code) | [i] | ||
| 44 | No linear OOA(3216, 180, F3, 2, 159) (dual of [(180, 2), 144, 160]-NRT-code) | [i] | ||
| 45 | No linear OOA(3217, 180, F3, 2, 160) (dual of [(180, 2), 143, 161]-NRT-code) | [i] | ||
| 46 | No linear OOA(3218, 180, F3, 2, 161) (dual of [(180, 2), 142, 162]-NRT-code) | [i] | ||
| 47 | No linear OOA(3219, 180, F3, 2, 162) (dual of [(180, 2), 141, 163]-NRT-code) | [i] | ||
| 48 | No linear OOA(3220, 180, F3, 2, 163) (dual of [(180, 2), 140, 164]-NRT-code) | [i] | ||
| 49 | No linear OOA(3221, 180, F3, 2, 164) (dual of [(180, 2), 139, 165]-NRT-code) | [i] | ||
| 50 | No linear OOA(3222, 180, F3, 2, 165) (dual of [(180, 2), 138, 166]-NRT-code) | [i] | ||
| 51 | No linear OOA(3223, 180, F3, 2, 166) (dual of [(180, 2), 137, 167]-NRT-code) | [i] | ||
| 52 | No linear OOA(3224, 180, F3, 2, 167) (dual of [(180, 2), 136, 168]-NRT-code) | [i] | ||
| 53 | No linear OOA(3225, 180, F3, 2, 168) (dual of [(180, 2), 135, 169]-NRT-code) | [i] | ||
| 54 | No linear OOA(3226, 180, F3, 2, 169) (dual of [(180, 2), 134, 170]-NRT-code) | [i] | ||
| 55 | No linear OOA(3227, 180, F3, 2, 170) (dual of [(180, 2), 133, 171]-NRT-code) | [i] | ||
| 56 | No linear OOA(3228, 180, F3, 2, 171) (dual of [(180, 2), 132, 172]-NRT-code) | [i] | ||
| 57 | No linear OOA(3229, 180, F3, 2, 172) (dual of [(180, 2), 131, 173]-NRT-code) | [i] | ||
| 58 | No linear OOA(3230, 180, F3, 2, 173) (dual of [(180, 2), 130, 174]-NRT-code) | [i] | ||
| 59 | No linear OOA(3231, 180, F3, 2, 174) (dual of [(180, 2), 129, 175]-NRT-code) | [i] | ||
| 60 | No linear OOA(3232, 180, F3, 2, 175) (dual of [(180, 2), 128, 176]-NRT-code) | [i] | ||
| 61 | No linear OOA(3233, 180, F3, 2, 176) (dual of [(180, 2), 127, 177]-NRT-code) | [i] | ||
| 62 | No linear OOA(3234, 180, F3, 2, 177) (dual of [(180, 2), 126, 178]-NRT-code) | [i] | ||
| 63 | No linear OOA(3235, 180, F3, 2, 178) (dual of [(180, 2), 125, 179]-NRT-code) | [i] | ||
| 64 | No linear OOA(3236, 180, F3, 2, 179) (dual of [(180, 2), 124, 180]-NRT-code) | [i] | ||
| 65 | No linear OOA(3237, 180, F3, 2, 180) (dual of [(180, 2), 123, 181]-NRT-code) | [i] | ||
| 66 | No linear OOA(3238, 180, F3, 2, 181) (dual of [(180, 2), 122, 182]-NRT-code) | [i] | ||
| 67 | No linear OOA(3239, 180, F3, 2, 182) (dual of [(180, 2), 121, 183]-NRT-code) | [i] | ||
| 68 | No linear OOA(3240, 180, F3, 2, 183) (dual of [(180, 2), 120, 184]-NRT-code) | [i] | ||
| 69 | No linear OOA(3241, 180, F3, 2, 184) (dual of [(180, 2), 119, 185]-NRT-code) | [i] | ||
| 70 | No linear OOA(3242, 180, F3, 2, 185) (dual of [(180, 2), 118, 186]-NRT-code) | [i] | ||
| 71 | No linear OOA(3243, 180, F3, 2, 186) (dual of [(180, 2), 117, 187]-NRT-code) | [i] | ||
| 72 | No linear OOA(3244, 180, F3, 2, 187) (dual of [(180, 2), 116, 188]-NRT-code) | [i] | ||
| 73 | No linear OOA(3245, 180, F3, 2, 188) (dual of [(180, 2), 115, 189]-NRT-code) | [i] | ||
| 74 | No linear OOA(3246, 180, F3, 2, 189) (dual of [(180, 2), 114, 190]-NRT-code) | [i] | ||
| 75 | No linear OOA(3247, 180, F3, 2, 190) (dual of [(180, 2), 113, 191]-NRT-code) | [i] | ||
| 76 | No linear OOA(3248, 180, F3, 2, 191) (dual of [(180, 2), 112, 192]-NRT-code) | [i] | ||
| 77 | No linear OOA(3249, 180, F3, 2, 192) (dual of [(180, 2), 111, 193]-NRT-code) | [i] | ||
| 78 | No linear OOA(3250, 180, F3, 2, 193) (dual of [(180, 2), 110, 194]-NRT-code) | [i] | ||
| 79 | No linear OOA(3174, 180, F3, 2, 117) (dual of [(180, 2), 186, 118]-NRT-code) | [i] | Depth Reduction | |
| 80 | No linear OOA(3174, 180, F3, 3, 117) (dual of [(180, 3), 366, 118]-NRT-code) | [i] | ||
| 81 | No linear OOA(3174, 180, F3, 4, 117) (dual of [(180, 4), 546, 118]-NRT-code) | [i] | ||
| 82 | No linear OOA(3174, 180, F3, 5, 117) (dual of [(180, 5), 726, 118]-NRT-code) | [i] | ||
| 83 | No digital (57, 174, 180)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 84 | No linear OA(3175, 184, F3, 117) (dual of [184, 9, 118]-code) | [i] | Construction Y1 (Bound) | |