Information on Result #700958
Linear OA(3120, 121, F3, 120) (dual of [121, 1, 121]-code or 121-arc in PG(119,3)), using the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,76], and designed minimum distance d ≥ |I|+1 = 121
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3120, 121, F3, 119) (dual of [121, 1, 120]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3120, 121, F3, 118) (dual of [121, 1, 119]-code) | [i] | ||
| 3 | Linear OA(3120, 121, F3, 117) (dual of [121, 1, 118]-code) | [i] | ||
| 4 | Linear OA(3120, 121, F3, 116) (dual of [121, 1, 117]-code) | [i] | ||
| 5 | Linear OA(3120, 121, F3, 115) (dual of [121, 1, 116]-code) | [i] | ||
| 6 | Linear OA(3120, 121, F3, 114) (dual of [121, 1, 115]-code) | [i] | ||
| 7 | Linear OA(3120, 121, F3, 113) (dual of [121, 1, 114]-code) | [i] | ||
| 8 | Linear OA(3120, 121, F3, 112) (dual of [121, 1, 113]-code) | [i] | ||
| 9 | Linear OA(3120, 121, F3, 111) (dual of [121, 1, 112]-code) | [i] | ||
| 10 | Linear OA(3120, 121, F3, 110) (dual of [121, 1, 111]-code) | [i] | ||
| 11 | Linear OA(3120, 121, F3, 109) (dual of [121, 1, 110]-code) | [i] | ||
| 12 | Linear OA(3120, 121, F3, 108) (dual of [121, 1, 109]-code) | [i] | ||
| 13 | Linear OA(3120, 121, F3, 107) (dual of [121, 1, 108]-code) | [i] | ||
| 14 | Linear OA(3120, 121, F3, 106) (dual of [121, 1, 107]-code) | [i] | ||
| 15 | Linear OA(3120, 121, F3, 105) (dual of [121, 1, 106]-code) | [i] | ||
| 16 | Linear OA(3120, 121, F3, 104) (dual of [121, 1, 105]-code) | [i] | ||
| 17 | Linear OA(3120, 121, F3, 103) (dual of [121, 1, 104]-code) | [i] | ||
| 18 | Linear OA(3120, 121, F3, 102) (dual of [121, 1, 103]-code) | [i] | ||
| 19 | Linear OA(3120, 121, F3, 101) (dual of [121, 1, 102]-code) | [i] | ||
| 20 | Linear OA(3120, 121, F3, 100) (dual of [121, 1, 101]-code) | [i] | ||
| 21 | Linear OA(3120, 121, F3, 99) (dual of [121, 1, 100]-code) | [i] | ||
| 22 | Linear OA(3120, 121, F3, 98) (dual of [121, 1, 99]-code) | [i] | ||
| 23 | Linear OA(3120, 121, F3, 97) (dual of [121, 1, 98]-code) | [i] | ||
| 24 | Linear OA(3120, 121, F3, 96) (dual of [121, 1, 97]-code) | [i] | ||
| 25 | Linear OA(3120, 121, F3, 95) (dual of [121, 1, 96]-code) | [i] | ||
| 26 | Linear OA(3120, 121, F3, 94) (dual of [121, 1, 95]-code) | [i] | ||
| 27 | Linear OA(3120, 121, F3, 93) (dual of [121, 1, 94]-code) | [i] | ||
| 28 | Linear OA(3120, 121, F3, 92) (dual of [121, 1, 93]-code) | [i] | ||
| 29 | Linear OA(3120, 121, F3, 91) (dual of [121, 1, 92]-code) | [i] | ||
| 30 | Linear OA(3144, 155, F3, 84) (dual of [155, 11, 85]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 31 | Linear OA(3138, 149, F3, 81) (dual of [149, 11, 82]-code) | [i] | ✔ | |