Information on Result #606584
Linear OA(8119, 81, F81, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), using Reed–Solomon code RS(62,81)
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(3152, 380, F3, 39) (dual of [380, 228, 40]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(3151, 375, F3, 39) (dual of [375, 224, 40]-code) | [i] | ||
| 3 | Linear OA(3143, 335, F3, 39) (dual of [335, 192, 40]-code) | [i] | ||
| 4 | Linear OA(3142, 330, F3, 39) (dual of [330, 188, 40]-code) | [i] | ||
| 5 | Linear OA(3141, 325, F3, 39) (dual of [325, 184, 40]-code) | [i] | ||
| 6 | Linear OA(3140, 320, F3, 39) (dual of [320, 180, 40]-code) | [i] | ||
| 7 | Linear OA(3139, 315, F3, 39) (dual of [315, 176, 40]-code) | [i] | ||
| 8 | Linear OA(3138, 310, F3, 39) (dual of [310, 172, 40]-code) | [i] | ||
| 9 | Linear OA(3137, 305, F3, 39) (dual of [305, 168, 40]-code) | [i] | ||
| 10 | Linear OA(3136, 300, F3, 39) (dual of [300, 164, 40]-code) | [i] | ||
| 11 | Linear OA(3135, 295, F3, 39) (dual of [295, 160, 40]-code) | [i] | ||
| 12 | Linear OA(3134, 290, F3, 39) (dual of [290, 156, 40]-code) | [i] | ||
| 13 | Linear OA(3133, 285, F3, 39) (dual of [285, 152, 40]-code) | [i] | ||
| 14 | Linear OA(3132, 280, F3, 39) (dual of [280, 148, 40]-code) | [i] | ||
| 15 | Linear OA(3131, 275, F3, 39) (dual of [275, 144, 40]-code) | [i] | ||
| 16 | Linear OA(3130, 270, F3, 39) (dual of [270, 140, 40]-code) | [i] | ||
| 17 | Linear OA(3129, 265, F3, 39) (dual of [265, 136, 40]-code) | [i] | ||
| 18 | Linear OA(3128, 260, F3, 39) (dual of [260, 132, 40]-code) | [i] | ||
| 19 | Linear OA(3127, 255, F3, 39) (dual of [255, 128, 40]-code) | [i] | ||
| 20 | Linear OA(3236, 288, F3, 99) (dual of [288, 52, 100]-code) | [i] | ||
| 21 | Linear OA(3231, 279, F3, 99) (dual of [279, 48, 100]-code) | [i] | ||
| 22 | Linear OA(3226, 270, F3, 99) (dual of [270, 44, 100]-code) | [i] | ||
| 23 | Linear OA(3221, 261, F3, 99) (dual of [261, 40, 100]-code) | [i] | ||
| 24 | Linear OA(3250, 290, F3, 119) (dual of [290, 40, 120]-code) | [i] | ||
| 25 | Linear OA(3244, 280, F3, 119) (dual of [280, 36, 120]-code) | [i] | ||
| 26 | Linear OA(977, 117, F9, 39) (dual of [117, 40, 40]-code) | [i] | ||
| 27 | Linear OA(976, 114, F9, 39) (dual of [114, 38, 40]-code) | [i] | ||
| 28 | Linear OA(975, 111, F9, 39) (dual of [111, 36, 40]-code) | [i] | ||
| 29 | Linear OA(974, 108, F9, 39) (dual of [108, 34, 40]-code) | [i] | ||
| 30 | Linear OA(973, 105, F9, 39) (dual of [105, 32, 40]-code) | [i] | ||
| 31 | Linear OA(972, 102, F9, 39) (dual of [102, 30, 40]-code) | [i] | ||
| 32 | Linear OA(996, 116, F9, 59) (dual of [116, 20, 60]-code) | [i] | ||
| 33 | Linear OA(994, 112, F9, 59) (dual of [112, 18, 60]-code) | [i] | ||
| 34 | Linear OA(992, 108, F9, 59) (dual of [108, 16, 60]-code) | [i] | ||
| 35 | Linear OA(990, 104, F9, 59) (dual of [104, 14, 60]-code) | [i] | ||
| 36 | Linear OA(9116, 130, F9, 79) (dual of [130, 14, 80]-code) | [i] | ||
| 37 | Linear OA(9113, 125, F9, 79) (dual of [125, 12, 80]-code) | [i] | ||
| 38 | Linear OA(9110, 120, F9, 79) (dual of [120, 10, 80]-code) | [i] | ||
| 39 | Linear OA(9107, 115, F9, 79) (dual of [115, 8, 80]-code) | [i] | ||
| 40 | Linear OA(9134, 144, F9, 99) (dual of [144, 10, 100]-code) | [i] | ||
| 41 | Linear OA(9126, 132, F9, 99) (dual of [132, 6, 100]-code) | [i] | ||
| 42 | Linear OOA(3142, 99, F3, 2, 59) (dual of [(99, 2), 56, 60]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 43 | Linear OOA(3140, 96, F3, 2, 59) (dual of [(96, 2), 52, 60]-NRT-code) | [i] | ||
| 44 | Linear OOA(3236, 160, F3, 2, 99) (dual of [(160, 2), 84, 100]-NRT-code) | [i] | ||
| 45 | Linear OOA(3232, 156, F3, 2, 99) (dual of [(156, 2), 80, 100]-NRT-code) | [i] | ||
| 46 | Linear OOA(3228, 152, F3, 2, 99) (dual of [(152, 2), 76, 100]-NRT-code) | [i] | ||
| 47 | Linear OOA(3224, 148, F3, 2, 99) (dual of [(148, 2), 72, 100]-NRT-code) | [i] | ||
| 48 | Linear OOA(3220, 144, F3, 2, 99) (dual of [(144, 2), 68, 100]-NRT-code) | [i] | ||
| 49 | Linear OOA(3216, 140, F3, 2, 99) (dual of [(140, 2), 64, 100]-NRT-code) | [i] | ||
| 50 | Linear OOA(3212, 136, F3, 2, 99) (dual of [(136, 2), 60, 100]-NRT-code) | [i] | ||
| 51 | Linear OOA(3208, 132, F3, 2, 99) (dual of [(132, 2), 56, 100]-NRT-code) | [i] | ||
| 52 | Linear OOA(3204, 128, F3, 2, 99) (dual of [(128, 2), 52, 100]-NRT-code) | [i] | ||
| 53 | Linear OOA(3200, 124, F3, 2, 99) (dual of [(124, 2), 48, 100]-NRT-code) | [i] | ||
| 54 | Linear OOA(3196, 120, F3, 2, 99) (dual of [(120, 2), 44, 100]-NRT-code) | [i] | ||
| 55 | Linear OOA(3192, 116, F3, 2, 99) (dual of [(116, 2), 40, 100]-NRT-code) | [i] | ||
| 56 | Linear OOA(3246, 102, F3, 3, 119) (dual of [(102, 3), 60, 120]-NRT-code) | [i] | ||
| 57 | Linear OOA(3241, 99, F3, 3, 119) (dual of [(99, 3), 56, 120]-NRT-code) | [i] | ||
| 58 | Linear OOA(3231, 93, F3, 3, 119) (dual of [(93, 3), 48, 120]-NRT-code) | [i] | ||
| 59 | Linear OOA(3226, 90, F3, 3, 119) (dual of [(90, 3), 44, 120]-NRT-code) | [i] | ||
| 60 | Linear OA(8182, 408, F81, 47) (dual of [408, 326, 48]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 61 | Linear OA(8181, 408, F81, 46) (dual of [408, 327, 47]-code) | [i] | ||
| 62 | Linear OA(8180, 408, F81, 45) (dual of [408, 328, 46]-code) | [i] | ||