Information on Result #606416
Linear OA(2719, 27, F27, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), using Reed–Solomon code RS(8,27)
Mode: Constructive and 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 | Linear OA(2763, 66, F27, 59) (dual of [66, 3, 60]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(2795, 99, F27, 87) (dual of [99, 4, 88]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(2757, 60, F27, 54) (dual of [60, 3, 55]-code) | [i] | ||
| 4 | Linear OA(384, 108, F3, 39) (dual of [108, 24, 40]-code) | [i] | Concatenation of Two Codes | |
| 5 | Linear OA(383, 104, F3, 39) (dual of [104, 21, 40]-code) | [i] | ||
| 6 | Linear OA(3165, 189, F3, 79) (dual of [189, 24, 80]-code) | [i] | ||
| 7 | Linear OA(3161, 182, F3, 79) (dual of [182, 21, 80]-code) | [i] | ||
| 8 | Linear OA(3187, 208, F3, 99) (dual of [208, 21, 100]-code) | [i] | ||
| 9 | Linear OA(3182, 200, F3, 99) (dual of [200, 18, 100]-code) | [i] | ||
| 10 | Linear OA(3177, 192, F3, 99) (dual of [192, 15, 100]-code) | [i] | ||
| 11 | Linear OA(3172, 184, F3, 99) (dual of [184, 12, 100]-code) | [i] | ||
| 12 | Linear OA(3167, 176, F3, 99) (dual of [176, 9, 100]-code) | [i] | ||
| 13 | Linear OA(3207, 225, F3, 119) (dual of [225, 18, 120]-code) | [i] | ||
| 14 | Linear OA(3201, 216, F3, 119) (dual of [216, 15, 120]-code) | [i] | ||
| 15 | Linear OA(3195, 207, F3, 119) (dual of [207, 12, 120]-code) | [i] | ||
| 16 | Linear OA(3189, 198, F3, 119) (dual of [198, 9, 120]-code) | [i] | ||
| 17 | Linear OOA(3138, 81, F3, 2, 79) (dual of [(81, 2), 24, 80]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 18 | Linear OOA(3135, 78, F3, 2, 79) (dual of [(78, 2), 21, 80]-NRT-code) | [i] | ||
| 19 | Linear OOA(3132, 75, F3, 2, 79) (dual of [(75, 2), 18, 80]-NRT-code) | [i] | ||
| 20 | Linear OOA(3129, 72, F3, 2, 79) (dual of [(72, 2), 15, 80]-NRT-code) | [i] | ||
| 21 | Linear OOA(3126, 69, F3, 2, 79) (dual of [(69, 2), 12, 80]-NRT-code) | [i] | ||
| 22 | Linear OOA(3123, 66, F3, 2, 79) (dual of [(66, 2), 9, 80]-NRT-code) | [i] | ||
| 23 | Linear OOA(3192, 108, F3, 2, 119) (dual of [(108, 2), 24, 120]-NRT-code) | [i] | ||
| 24 | Linear OOA(3187, 104, F3, 2, 119) (dual of [(104, 2), 21, 120]-NRT-code) | [i] | ||
| 25 | Linear OOA(3182, 100, F3, 2, 119) (dual of [(100, 2), 18, 120]-NRT-code) | [i] | ||
| 26 | Linear OOA(3177, 96, F3, 2, 119) (dual of [(96, 2), 15, 120]-NRT-code) | [i] | ||
| 27 | Linear OOA(3172, 92, F3, 2, 119) (dual of [(92, 2), 12, 120]-NRT-code) | [i] | ||
| 28 | Linear OOA(3167, 88, F3, 2, 119) (dual of [(88, 2), 9, 120]-NRT-code) | [i] | ||
| 29 | Linear OOA(3219, 81, F3, 3, 139) (dual of [(81, 3), 24, 140]-NRT-code) | [i] | ||
| 30 | Linear OOA(3213, 78, F3, 3, 139) (dual of [(78, 3), 21, 140]-NRT-code) | [i] | ||
| 31 | Linear OOA(3207, 75, F3, 3, 139) (dual of [(75, 3), 18, 140]-NRT-code) | [i] | ||
| 32 | Linear OOA(3201, 72, F3, 3, 139) (dual of [(72, 3), 15, 140]-NRT-code) | [i] | ||
| 33 | Linear OOA(3195, 69, F3, 3, 139) (dual of [(69, 3), 12, 140]-NRT-code) | [i] | ||
| 34 | Linear OOA(3246, 84, F3, 3, 199) (dual of [(84, 3), 6, 200]-NRT-code) | [i] | ||