Information on Result #612426
Linear OA(3106, 121, F3, 62) (dual of [121, 15, 63]-code), using the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,60], and minimum distance d ≥ |{−1,0,…,60}|+1 = 63 (BCH-bound)
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(3105, 120, F3, 61) (dual of [120, 15, 62]-code) | [i] | Truncation | |
| 2 | Linear OA(3104, 119, F3, 60) (dual of [119, 15, 61]-code) | [i] | ||
| 3 | Linear OA(3103, 118, F3, 59) (dual of [118, 15, 60]-code) | [i] | ||
| 4 | Linear OA(3102, 117, F3, 58) (dual of [117, 15, 59]-code) | [i] | ||
| 5 | Linear OA(3101, 116, F3, 57) (dual of [116, 15, 58]-code) | [i] | ||
| 6 | Linear OA(3100, 115, F3, 56) (dual of [115, 15, 57]-code) | [i] | ||
| 7 | Linear OA(399, 114, F3, 55) (dual of [114, 15, 56]-code) | [i] | ||
| 8 | Linear OA(398, 113, F3, 54) (dual of [113, 15, 55]-code) | [i] | ||
| 9 | Linear OA(3107, 123, F3, 62) (dual of [123, 16, 63]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(3112, 127, F3, 64) (dual of [127, 15, 65]-code) | [i] | ✔ | |
| 11 | Linear OA(3117, 132, F3, 68) (dual of [132, 15, 69]-code) | [i] | ✔ | |
| 12 | Linear OA(3113, 125, F3, 65) (dual of [125, 12, 66]-code) | [i] | ✔ | |
| 13 | Linear OA(3136, 149, F3, 77) (dual of [149, 13, 78]-code) | [i] | ✔ | |
| 14 | Linear OA(3128, 143, F3, 71) (dual of [143, 15, 72]-code) | [i] | ✔ | |
| 15 | Linear OA(3129, 145, F3, 71) (dual of [145, 16, 72]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 16 | Linear OA(3137, 151, F3, 77) (dual of [151, 14, 78]-code) | [i] | ✔ | |
| 17 | Linear OA(3118, 134, F3, 68) (dual of [134, 16, 69]-code) | [i] | ✔ | |
| 18 | Linear OA(3113, 129, F3, 64) (dual of [129, 16, 65]-code) | [i] | ✔ | |
| 19 | Linear OA(3134, 149, F3, 74) (dual of [149, 15, 75]-code) | [i] | ✔ | |
| 20 | Linear OA(3132, 147, F3, 73) (dual of [147, 15, 74]-code) | [i] | ✔ | |
| 21 | Linear OA(3130, 145, F3, 72) (dual of [145, 15, 73]-code) | [i] | ✔ | |
| 22 | Linear OA(3125, 140, F3, 71) (dual of [140, 15, 72]-code) | [i] | ✔ | |
| 23 | Linear OA(3123, 138, F3, 70) (dual of [138, 15, 71]-code) | [i] | ✔ | |
| 24 | Linear OA(3133, 147, F3, 74) (dual of [147, 14, 75]-code) | [i] | ✔ | |
| 25 | Linear OA(3131, 145, F3, 73) (dual of [145, 14, 74]-code) | [i] | ✔ | |
| 26 | Linear OA(3129, 143, F3, 72) (dual of [143, 14, 73]-code) | [i] | ✔ | |
| 27 | Linear OA(3132, 145, F3, 74) (dual of [145, 13, 75]-code) | [i] | ✔ | |
| 28 | Linear OA(3130, 143, F3, 73) (dual of [143, 13, 74]-code) | [i] | ✔ | |
| 29 | Linear OA(3128, 141, F3, 72) (dual of [141, 13, 73]-code) | [i] | ✔ | |
| 30 | Linear OA(3137, 153, F3, 75) (dual of [153, 16, 76]-code) | [i] | ✔ | |
| 31 | Linear OA(3132, 147, F3, 72) (dual of [147, 15, 73]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 32 | Linear OA(3140, 153, F3, 79) (dual of [153, 13, 80]-code) | [i] | ✔ | |
| 33 | Linear OA(3126, 139, F3, 70) (dual of [139, 13, 71]-code) | [i] | ✔ | |
| 34 | Linear OA(3130, 146, F3, 71) (dual of [146, 16, 72]-code) | [i] | ✔ | |
| 35 | Linear OA(3119, 135, F3, 68) (dual of [135, 16, 69]-code) | [i] | ✔ | |
| 36 | Linear OOA(3106, 60, F3, 2, 62) (dual of [(60, 2), 14, 63]-NRT-code) | [i] | OOA Folding | |
| 37 | Linear OOA(3106, 40, F3, 3, 62) (dual of [(40, 3), 14, 63]-NRT-code) | [i] | ||
| 38 | Linear OOA(3106, 24, F3, 5, 62) (dual of [(24, 5), 14, 63]-NRT-code) | [i] | ||