Information on Result #2228371
Linear OA(375, 111, F3, 32) (dual of [111, 36, 33]-code), using 1 times truncation based on linear OA(376, 112, F3, 33) (dual of [112, 36, 34]-code), using
- concatenation of two codes [i] based on
- linear OA(2716, 28, F27, 16) (dual of [28, 12, 17]-code or 28-arc in PG(15,27)), using
- extended Reed–Solomon code RSe(12,27) [i]
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(2716, 28, F27, 16) (dual of [28, 12, 17]-code or 28-arc in PG(15,27)), using
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(377, 113, F3, 32) (dual of [113, 36, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(378, 114, F3, 32) (dual of [114, 36, 33]-code) | [i] | ||
| 3 | Linear OA(379, 115, F3, 32) (dual of [115, 36, 33]-code) | [i] | ||
| 4 | Linear OA(379, 119, F3, 32) (dual of [119, 40, 33]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(380, 122, F3, 32) (dual of [122, 42, 33]-code) | [i] | ||
| 6 | Linear OA(377, 114, F3, 32) (dual of [114, 37, 33]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(378, 116, F3, 32) (dual of [116, 38, 33]-code) | [i] | ||
| 8 | Linear OA(379, 118, F3, 32) (dual of [118, 39, 33]-code) | [i] | ||
| 9 | Linear OOA(375, 55, F3, 2, 32) (dual of [(55, 2), 35, 33]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(375, 37, F3, 3, 32) (dual of [(37, 3), 36, 33]-NRT-code) | [i] | ||