Information on Result #610349
Linear OA(3170, 172, F3, 128) (dual of [172, 2, 129]-code), using repeating each code word 43 times based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
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(3170, 172, F3, 127) (dual of [172, 2, 128]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3170, 172, F3, 126) (dual of [172, 2, 127]-code) | [i] | ||
| 3 | Linear OA(3170, 172, F3, 125) (dual of [172, 2, 126]-code) | [i] | ||
| 4 | Linear OA(3170, 172, F3, 124) (dual of [172, 2, 125]-code) | [i] | ||
| 5 | Linear OA(3170, 172, F3, 123) (dual of [172, 2, 124]-code) | [i] | ||
| 6 | Linear OA(3170, 172, F3, 122) (dual of [172, 2, 123]-code) | [i] | ||
| 7 | Linear OA(3170, 172, F3, 121) (dual of [172, 2, 122]-code) | [i] | ||
| 8 | Linear OA(3170, 172, F3, 120) (dual of [172, 2, 121]-code) | [i] | ||
| 9 | Linear OA(3170, 172, F3, 119) (dual of [172, 2, 120]-code) | [i] | ||
| 10 | Linear OA(3169, 171, F3, 127) (dual of [171, 2, 128]-code) | [i] | Truncation | |
| 11 | Linear OA(3168, 170, F3, 126) (dual of [170, 2, 127]-code) | [i] | ||
| 12 | Linear OA(3167, 169, F3, 125) (dual of [169, 2, 126]-code) | [i] | ||
| 13 | Linear OA(3165, 167, F3, 123) (dual of [167, 2, 124]-code) | [i] | ||
| 14 | Linear OA(3164, 166, F3, 122) (dual of [166, 2, 123]-code) | [i] | ||
| 15 | Linear OA(3163, 165, F3, 121) (dual of [165, 2, 122]-code) | [i] | ||
| 16 | Linear OA(3161, 163, F3, 119) (dual of [163, 2, 120]-code) | [i] | ||
| 17 | Linear OA(3160, 162, F3, 118) (dual of [162, 2, 119]-code) | [i] | ||
| 18 | Linear OA(3159, 161, F3, 117) (dual of [161, 2, 118]-code) | [i] | ||
| 19 | Linear OA(3157, 159, F3, 115) (dual of [159, 2, 116]-code) | [i] | ||
| 20 | Linear OA(3156, 158, F3, 114) (dual of [158, 2, 115]-code) | [i] | ||
| 21 | Linear OA(3155, 157, F3, 113) (dual of [157, 2, 114]-code) | [i] | ||
| 22 | Linear OA(3153, 155, F3, 111) (dual of [155, 2, 112]-code) | [i] | ||
| 23 | Linear OA(3152, 154, F3, 110) (dual of [154, 2, 111]-code) | [i] | ||
| 24 | Linear OA(3151, 153, F3, 109) (dual of [153, 2, 110]-code) | [i] | ||
| 25 | Linear OA(3149, 151, F3, 107) (dual of [151, 2, 108]-code) | [i] | ||
| 26 | Linear OA(3148, 150, F3, 106) (dual of [150, 2, 107]-code) | [i] | ||
| 27 | Linear OA(3147, 149, F3, 105) (dual of [149, 2, 106]-code) | [i] | ||
| 28 | Linear OA(3145, 147, F3, 103) (dual of [147, 2, 104]-code) | [i] | ||
| 29 | Linear OA(3144, 146, F3, 102) (dual of [146, 2, 103]-code) | [i] | ||
| 30 | Linear OA(3143, 145, F3, 101) (dual of [145, 2, 102]-code) | [i] | ||
| 31 | Linear OA(3141, 143, F3, 99) (dual of [143, 2, 100]-code) | [i] | ||
| 32 | Linear OOA(3170, 86, F3, 2, 128) (dual of [(86, 2), 2, 129]-NRT-code) | [i] | OOA Folding | |