Information on Result #606411
Linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using Reed–Solomon code RS(13,27)
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(369, 108, F3, 29) (dual of [108, 39, 30]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(368, 104, F3, 29) (dual of [104, 36, 30]-code) | [i] | ||
| 3 | Linear OA(367, 100, F3, 29) (dual of [100, 33, 30]-code) | [i] | ||
| 4 | Linear OA(366, 96, F3, 29) (dual of [96, 30, 30]-code) | [i] | ||
| 5 | Linear OA(365, 92, F3, 29) (dual of [92, 27, 30]-code) | [i] | ||
| 6 | Linear OA(364, 88, F3, 29) (dual of [88, 24, 30]-code) | [i] | ||
| 7 | Linear OA(3126, 147, F3, 59) (dual of [147, 21, 60]-code) | [i] | ||
| 8 | Linear OA(3167, 200, F3, 74) (dual of [200, 33, 75]-code) | [i] | ||
| 9 | Linear OA(3162, 192, F3, 74) (dual of [192, 30, 75]-code) | [i] | ||
| 10 | Linear OA(3157, 184, F3, 74) (dual of [184, 27, 75]-code) | [i] | ||
| 11 | Linear OA(3152, 176, F3, 74) (dual of [176, 24, 75]-code) | [i] | ||
| 12 | Linear OA(3147, 168, F3, 74) (dual of [168, 21, 75]-code) | [i] | ||
| 13 | Linear OA(3137, 152, F3, 74) (dual of [152, 15, 75]-code) | [i] | ||
| 14 | Linear OA(3132, 144, F3, 74) (dual of [144, 12, 75]-code) | [i] | ||
| 15 | Linear OA(3204, 243, F3, 89) (dual of [243, 39, 90]-code) | [i] | ||
| 16 | Linear OA(3198, 234, F3, 89) (dual of [234, 36, 90]-code) | [i] | ||
| 17 | Linear OA(3174, 198, F3, 89) (dual of [198, 24, 90]-code) | [i] | ||
| 18 | Linear OA(3168, 189, F3, 89) (dual of [189, 21, 90]-code) | [i] | ||
| 19 | Linear OA(3156, 171, F3, 89) (dual of [171, 15, 90]-code) | [i] | ||
| 20 | Linear OA(3150, 162, F3, 89) (dual of [162, 12, 90]-code) | [i] | ||
| 21 | Linear OA(3144, 153, F3, 89) (dual of [153, 9, 90]-code) | [i] | ||
| 22 | Linear OA(3212, 221, F3, 134) (dual of [221, 9, 135]-code) | [i] | ||
| 23 | Linear OOA(3123, 81, F3, 2, 59) (dual of [(81, 2), 39, 60]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 24 | Linear OOA(3120, 78, F3, 2, 59) (dual of [(78, 2), 36, 60]-NRT-code) | [i] | ||
| 25 | Linear OOA(3117, 75, F3, 2, 59) (dual of [(75, 2), 33, 60]-NRT-code) | [i] | ||
| 26 | Linear OOA(3114, 72, F3, 2, 59) (dual of [(72, 2), 30, 60]-NRT-code) | [i] | ||
| 27 | Linear OOA(3111, 69, F3, 2, 59) (dual of [(69, 2), 27, 60]-NRT-code) | [i] | ||
| 28 | Linear OOA(3108, 66, F3, 2, 59) (dual of [(66, 2), 24, 60]-NRT-code) | [i] | ||
| 29 | Linear OOA(3105, 63, F3, 2, 59) (dual of [(63, 2), 21, 60]-NRT-code) | [i] | ||
| 30 | Linear OOA(3102, 60, F3, 2, 59) (dual of [(60, 2), 18, 60]-NRT-code) | [i] | ||
| 31 | Linear OOA(399, 57, F3, 2, 59) (dual of [(57, 2), 15, 60]-NRT-code) | [i] | ||
| 32 | Linear OOA(396, 54, F3, 2, 59) (dual of [(54, 2), 12, 60]-NRT-code) | [i] | ||
| 33 | Linear OOA(393, 51, F3, 2, 59) (dual of [(51, 2), 9, 60]-NRT-code) | [i] | ||
| 34 | Linear OOA(3167, 100, F3, 2, 89) (dual of [(100, 2), 33, 90]-NRT-code) | [i] | ||
| 35 | Linear OOA(3162, 96, F3, 2, 89) (dual of [(96, 2), 30, 90]-NRT-code) | [i] | ||
| 36 | Linear OOA(3157, 92, F3, 2, 89) (dual of [(92, 2), 27, 90]-NRT-code) | [i] | ||
| 37 | Linear OOA(3152, 88, F3, 2, 89) (dual of [(88, 2), 24, 90]-NRT-code) | [i] | ||
| 38 | Linear OOA(3147, 84, F3, 2, 89) (dual of [(84, 2), 21, 90]-NRT-code) | [i] | ||
| 39 | Linear OOA(3142, 80, F3, 2, 89) (dual of [(80, 2), 18, 90]-NRT-code) | [i] | ||
| 40 | Linear OOA(3137, 76, F3, 2, 89) (dual of [(76, 2), 15, 90]-NRT-code) | [i] | ||
| 41 | Linear OOA(3132, 72, F3, 2, 89) (dual of [(72, 2), 12, 90]-NRT-code) | [i] | ||
| 42 | Linear OOA(3127, 68, F3, 2, 89) (dual of [(68, 2), 9, 90]-NRT-code) | [i] | ||
| 43 | Linear OOA(3240, 126, F3, 2, 164) (dual of [(126, 2), 12, 165]-NRT-code) | [i] | ||
| 44 | Linear OOA(3229, 119, F3, 2, 164) (dual of [(119, 2), 9, 165]-NRT-code) | [i] | ||
| 45 | Linear OOA(3249, 92, F3, 3, 149) (dual of [(92, 3), 27, 150]-NRT-code) | [i] | ||
| 46 | Linear OOA(3240, 88, F3, 3, 149) (dual of [(88, 3), 24, 150]-NRT-code) | [i] | ||
| 47 | Linear OOA(3213, 76, F3, 3, 149) (dual of [(76, 3), 15, 150]-NRT-code) | [i] | ||
| 48 | Linear OOA(3204, 72, F3, 3, 149) (dual of [(72, 3), 12, 150]-NRT-code) | [i] | ||
| 49 | Linear OOA(3195, 68, F3, 3, 149) (dual of [(68, 3), 9, 150]-NRT-code) | [i] | ||
| 50 | Linear OOA(3186, 64, F3, 3, 149) (dual of [(64, 3), 6, 150]-NRT-code) | [i] | ||
| 51 | Linear OOA(3250, 64, F3, 4, 209) (dual of [(64, 4), 6, 210]-NRT-code) | [i] | ||
| 52 | Linear OA(27110, 761, F27, 42) (dual of [761, 651, 43]-code) | [i] | (u, u−v, u+v+w)-Construction | |