Information on Result #622004
Linear OA(3111, 121, F3, 71) (dual of [121, 10, 72]-code), using code C1 for u = 5 by de Boer and Brouwer
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.
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 | Linear OA(3111, 121, F3, 70) (dual of [121, 10, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3111, 121, F3, 69) (dual of [121, 10, 70]-code) | [i] | ||
| 3 | Linear OA(3112, 122, F3, 71) (dual of [122, 10, 72]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3113, 123, F3, 71) (dual of [123, 10, 72]-code) | [i] | ||
| 5 | Linear OA(3114, 124, F3, 71) (dual of [124, 10, 72]-code) | [i] | ||
| 6 | Linear OA(3110, 120, F3, 70) (dual of [120, 10, 71]-code) | [i] | Truncation | |
| 7 | Linear OA(3109, 119, F3, 69) (dual of [119, 10, 70]-code) | [i] | ||
| 8 | Linear OA(3108, 118, F3, 68) (dual of [118, 10, 69]-code) | [i] | ||
| 9 | Linear OA(3107, 117, F3, 67) (dual of [117, 10, 68]-code) | [i] | ||
| 10 | Linear OA(3106, 116, F3, 66) (dual of [116, 10, 67]-code) | [i] | ||
| 11 | Linear OA(3105, 115, F3, 65) (dual of [115, 10, 66]-code) | [i] | ||
| 12 | Linear OA(3104, 114, F3, 64) (dual of [114, 10, 65]-code) | [i] | ||
| 13 | Linear OA(3103, 113, F3, 63) (dual of [113, 10, 64]-code) | [i] | ||
| 14 | Linear OA(3102, 112, F3, 62) (dual of [112, 10, 63]-code) | [i] | ||
| 15 | Linear OA(3101, 111, F3, 61) (dual of [111, 10, 62]-code) | [i] | ||
| 16 | Linear OA(3100, 110, F3, 60) (dual of [110, 10, 61]-code) | [i] | ||
| 17 | Linear OA(399, 109, F3, 59) (dual of [109, 10, 60]-code) | [i] | ||
| 18 | Linear OA(397, 107, F3, 57) (dual of [107, 10, 58]-code) | [i] | ||
| 19 | Linear OA(3189, 199, F3, 114) (dual of [199, 10, 115]-code) | [i] | Juxtaposition | |
| 20 | Linear OA(3190, 200, F3, 115) (dual of [200, 10, 116]-code) | [i] | ||
| 21 | Linear OA(3191, 201, F3, 116) (dual of [201, 10, 117]-code) | [i] | ||
| 22 | Linear OA(3137, 145, F3, 84) (dual of [145, 8, 85]-code) | [i] | ||
| 23 | Linear OA(3138, 146, F3, 85) (dual of [146, 8, 86]-code) | [i] | ||
| 24 | Linear OA(3139, 147, F3, 86) (dual of [147, 8, 87]-code) | [i] | ||
| 25 | Linear OA(3136, 143, F3, 84) (dual of [143, 7, 85]-code) | [i] | ||
| 26 | Linear OA(3137, 144, F3, 85) (dual of [144, 7, 86]-code) | [i] | ||
| 27 | Linear OA(3138, 145, F3, 86) (dual of [145, 7, 87]-code) | [i] | ||
| 28 | Linear OA(3190, 197, F3, 120) (dual of [197, 7, 121]-code) | [i] | ||
| 29 | Linear OA(3191, 198, F3, 121) (dual of [198, 7, 122]-code) | [i] | ||
| 30 | Linear OA(3192, 199, F3, 122) (dual of [199, 7, 123]-code) | [i] | ||
| 31 | Linear OA(3115, 126, F3, 71) (dual of [126, 11, 72]-code) | [i] | ✔ | Construction X with De Boer–Brouwer Codes |
| 32 | Linear OA(3117, 127, F3, 73) (dual of [127, 10, 74]-code) | [i] | ✔ | |
| 33 | Linear OA(3126, 134, F3, 80) (dual of [134, 8, 81]-code) | [i] | ✔ | |
| 34 | Linear OA(3127, 136, F3, 80) (dual of [136, 9, 81]-code) | [i] | ✔ | |
| 35 | Linear OA(3128, 138, F3, 80) (dual of [138, 10, 81]-code) | [i] | ✔ | |
| 36 | Linear OA(3122, 132, F3, 77) (dual of [132, 10, 78]-code) | [i] | ✔ | |
| 37 | Linear OA(3118, 125, F3, 74) (dual of [125, 7, 75]-code) | [i] | ✔ | |
| 38 | Linear OA(3133, 145, F3, 71) (dual of [145, 12, 72]-code) | [i] | ✔ | |
| 39 | Linear OA(3129, 141, F3, 68) (dual of [141, 12, 69]-code) | [i] | ✔ | |
| 40 | Linear OA(3130, 143, F3, 68) (dual of [143, 13, 69]-code) | [i] | ✔ | |
| 41 | Linear OA(3131, 146, F3, 68) (dual of [146, 15, 69]-code) | [i] | ✔ | |
| 42 | Linear OA(3125, 137, F3, 65) (dual of [137, 12, 66]-code) | [i] | ✔ | |
| 43 | Linear OA(3126, 139, F3, 65) (dual of [139, 13, 66]-code) | [i] | ✔ | |
| 44 | Linear OA(3127, 142, F3, 65) (dual of [142, 15, 66]-code) | [i] | ✔ | |
| 45 | Linear OA(3127, 137, F3, 80) (dual of [137, 10, 81]-code) | [i] | ✔ | |
| 46 | Linear OA(3132, 143, F3, 80) (dual of [143, 11, 81]-code) | [i] | ✔ | Construction XX with De Boer–Brouwer Codes |
| 47 | Linear OA(3126, 137, F3, 77) (dual of [137, 11, 78]-code) | [i] | ✔ | |
| 48 | Linear OA(3121, 132, F3, 73) (dual of [132, 11, 74]-code) | [i] | ✔ | |
| 49 | Linear OA(3131, 142, F3, 80) (dual of [142, 11, 81]-code) | [i] | ✔ | |
| 50 | Linear OA(3133, 144, F3, 80) (dual of [144, 11, 81]-code) | [i] | ✔ | Construction XX with a Chain of De Boer–Brouwer Codes |
| 51 | Linear OA(3127, 138, F3, 77) (dual of [138, 11, 78]-code) | [i] | ✔ | |
| 52 | Linear OA(3122, 133, F3, 73) (dual of [133, 11, 74]-code) | [i] | ✔ | |
| 53 | Linear OOA(3111, 60, F3, 2, 71) (dual of [(60, 2), 9, 72]-NRT-code) | [i] | OOA Folding | |
| 54 | Linear OOA(3111, 40, F3, 3, 71) (dual of [(40, 3), 9, 72]-NRT-code) | [i] | ||
| 55 | Linear OOA(3111, 24, F3, 5, 71) (dual of [(24, 5), 9, 72]-NRT-code) | [i] | ||