Information on Result #610021
Linear OA(213, 15, F2, 9) (dual of [15, 2, 10]-code), using repeating each code word 5 times based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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
- Codes by De Boer and Brouwer (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(213, 15, F2, 8) (dual of [15, 2, 9]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(212, 14, F2, 8) (dual of [14, 2, 9]-code) | [i] | Truncation | |
| 3 | Linear OA(2248, 271, F2, 105) (dual of [271, 23, 106]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(2112, 143, F2, 41) (dual of [143, 31, 42]-code) | [i] | ||
| 5 | Linear OA(2248, 270, F2, 105) (dual of [270, 22, 106]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 6 | Linear OA(2121, 152, F2, 44) (dual of [152, 31, 45]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(2126, 157, F2, 46) (dual of [157, 31, 47]-code) | [i] | ||
| 8 | Linear OOA(213, 5, F2, 3, 9) (dual of [(5, 3), 2, 10]-NRT-code) | [i] | OOA Folding | |