Information on Result #524304
There is no linear OA(37, 137, F3, 3) (dual of [137, 130, 4]-code or 137-cap in PG(6,3)), because a result by Barát, Edel, Hill, and Storme
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 OOA(37, 137, F3, 2, 3) (dual of [(137, 2), 267, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(37, 137, F3, 3, 3) (dual of [(137, 3), 404, 4]-NRT-code) | [i] | ||
| 3 | No linear OOA(37, 137, F3, 4, 3) (dual of [(137, 4), 541, 4]-NRT-code) | [i] | ||
| 4 | No linear OOA(37, 137, F3, 5, 3) (dual of [(137, 5), 678, 4]-NRT-code) | [i] | ||
| 5 | No digital (4, 7, 137)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3130, 137, F3, 88) (dual of [137, 7, 89]-code) | [i] | Construction Y1 (Bound) | |
| 7 | No linear OA(3134, 141, F3, 90) (dual of [141, 7, 91]-code) | [i] | ||
| 8 | No linear OA(3138, 145, F3, 93) (dual of [145, 7, 94]-code) | [i] | ||
| 9 | No linear OA(3142, 149, F3, 96) (dual of [149, 7, 97]-code) | [i] | ||
| 10 | No linear OA(3147, 154, F3, 99) (dual of [154, 7, 100]-code) | [i] | ||
| 11 | No linear OA(3151, 158, F3, 102) (dual of [158, 7, 103]-code) | [i] | ||
| 12 | No linear OA(3155, 162, F3, 105) (dual of [162, 7, 106]-code) | [i] | ||
| 13 | No linear OA(3161, 168, F3, 108) (dual of [168, 7, 109]-code) | [i] | ||
| 14 | No linear OA(3165, 172, F3, 111) (dual of [172, 7, 112]-code) | [i] | ||
| 15 | No linear OA(3169, 176, F3, 114) (dual of [176, 7, 115]-code) | [i] | ||
| 16 | No linear OA(3174, 181, F3, 117) (dual of [181, 7, 118]-code) | [i] | ||
| 17 | No linear OA(3178, 185, F3, 120) (dual of [185, 7, 121]-code) | [i] | ||
| 18 | No linear OA(3182, 189, F3, 123) (dual of [189, 7, 124]-code) | [i] | ||
| 19 | No linear OA(3187, 194, F3, 126) (dual of [194, 7, 127]-code) | [i] | ||
| 20 | No linear OA(3191, 198, F3, 129) (dual of [198, 7, 130]-code) | [i] | ||
| 21 | No linear OA(3201, 208, F3, 135) (dual of [208, 7, 136]-code) | [i] | ||
| 22 | No linear OA(3205, 212, F3, 138) (dual of [212, 7, 139]-code) | [i] | ||
| 23 | No linear OA(3209, 216, F3, 141) (dual of [216, 7, 142]-code) | [i] | ||
| 24 | No linear OA(3214, 221, F3, 144) (dual of [221, 7, 145]-code) | [i] | ||
| 25 | No linear OA(3218, 225, F3, 147) (dual of [225, 7, 148]-code) | [i] | ||
| 26 | No linear OA(3222, 229, F3, 150) (dual of [229, 7, 151]-code) | [i] | ||