Information on Result #526657
There is no linear OA(327, 34, F32, 7) (dual of [34, 27, 8]-code or 34-arc in PG(6,32)), because bound for MDS codes
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(328, 35, F32, 8) (dual of [35, 27, 9]-code or 35-arc in PG(7,32)) | [i] | Truncation | |
| 2 | No linear OA(329, 36, F32, 9) (dual of [36, 27, 10]-code or 36-arc in PG(8,32)) | [i] | ||
| 3 | No linear OA(3210, 37, F32, 10) (dual of [37, 27, 11]-code or 37-arc in PG(9,32)) | [i] | ||
| 4 | No linear OA(3211, 38, F32, 11) (dual of [38, 27, 12]-code or 38-arc in PG(10,32)) | [i] | ||
| 5 | No linear OA(3212, 39, F32, 12) (dual of [39, 27, 13]-code or 39-arc in PG(11,32)) | [i] | ||
| 6 | No linear OA(3213, 40, F32, 13) (dual of [40, 27, 14]-code or 40-arc in PG(12,32)) | [i] | ||
| 7 | No linear OA(3214, 41, F32, 14) (dual of [41, 27, 15]-code or 41-arc in PG(13,32)) | [i] | ||
| 8 | No linear OA(3215, 42, F32, 15) (dual of [42, 27, 16]-code or 42-arc in PG(14,32)) | [i] | ||
| 9 | No linear OA(3216, 43, F32, 16) (dual of [43, 27, 17]-code or 43-arc in PG(15,32)) | [i] | ||
| 10 | No linear OA(3217, 44, F32, 17) (dual of [44, 27, 18]-code or 44-arc in PG(16,32)) | [i] | ||
| 11 | No linear OA(3218, 45, F32, 18) (dual of [45, 27, 19]-code or 45-arc in PG(17,32)) | [i] | ||
| 12 | No linear OA(3219, 46, F32, 19) (dual of [46, 27, 20]-code or 46-arc in PG(18,32)) | [i] | ||
| 13 | No linear OA(3220, 47, F32, 20) (dual of [47, 27, 21]-code or 47-arc in PG(19,32)) | [i] | ||
| 14 | No linear OA(3221, 48, F32, 21) (dual of [48, 27, 22]-code or 48-arc in PG(20,32)) | [i] | ||
| 15 | No linear OA(3222, 49, F32, 22) (dual of [49, 27, 23]-code or 49-arc in PG(21,32)) | [i] | ||
| 16 | No linear OA(3223, 50, F32, 23) (dual of [50, 27, 24]-code or 50-arc in PG(22,32)) | [i] | ||
| 17 | No linear OA(3224, 51, F32, 24) (dual of [51, 27, 25]-code or 51-arc in PG(23,32)) | [i] | ||
| 18 | No linear OA(3225, 52, F32, 25) (dual of [52, 27, 26]-code or 52-arc in PG(24,32)) | [i] | ||
| 19 | No linear OA(3226, 53, F32, 26) (dual of [53, 27, 27]-code or 53-arc in PG(25,32)) | [i] | ||
| 20 | No linear OA(3227, 34, F32, 27) (dual of [34, 7, 28]-code or 34-arc in PG(26,32)) | [i] | Dual of MDS Code Is Again an MDS Code | |