Information on Result #738077
Linear OA(3152, 160, F3, 98) (dual of [160, 8, 99]-code), using concatenation of two codes based on
- linear OA(936, 40, F9, 32) (dual of [40, 4, 33]-code), using
- 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(3152, 160, F3, 97) (dual of [160, 8, 98]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3152, 160, F3, 96) (dual of [160, 8, 97]-code) | [i] | ||
| 3 | Linear OA(3152, 160, F3, 95) (dual of [160, 8, 96]-code) | [i] | ||
| 4 | Linear OA(3153, 161, F3, 98) (dual of [161, 8, 99]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(3154, 162, F3, 98) (dual of [162, 8, 99]-code) | [i] | ||
| 6 | Linear OA(3155, 163, F3, 98) (dual of [163, 8, 99]-code) | [i] | ||
| 7 | Linear OA(3156, 164, F3, 98) (dual of [164, 8, 99]-code) | [i] | ||
| 8 | Linear OA(3151, 159, F3, 97) (dual of [159, 8, 98]-code) | [i] | Truncation | |
| 9 | Linear OA(3150, 158, F3, 96) (dual of [158, 8, 97]-code) | [i] | ||
| 10 | Linear OA(3149, 157, F3, 95) (dual of [157, 8, 96]-code) | [i] | ||
| 11 | Linear OA(3148, 156, F3, 94) (dual of [156, 8, 95]-code) | [i] | ||
| 12 | Linear OA(3146, 154, F3, 92) (dual of [154, 8, 93]-code) | [i] | ||
| 13 | Linear OA(3145, 153, F3, 91) (dual of [153, 8, 92]-code) | [i] | ||
| 14 | Linear OA(3144, 152, F3, 90) (dual of [152, 8, 91]-code) | [i] | ||
| 15 | Linear OA(3143, 151, F3, 89) (dual of [151, 8, 90]-code) | [i] | ||
| 16 | Linear OA(3142, 150, F3, 88) (dual of [150, 8, 89]-code) | [i] | ||
| 17 | Linear OA(3141, 149, F3, 87) (dual of [149, 8, 88]-code) | [i] | ||
| 18 | Linear OOA(3152, 80, F3, 2, 98) (dual of [(80, 2), 8, 99]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(3152, 53, F3, 3, 98) (dual of [(53, 3), 7, 99]-NRT-code) | [i] | ||
| 20 | Linear OOA(3152, 32, F3, 5, 98) (dual of [(32, 5), 8, 99]-NRT-code) | [i] | ||