Information on Result #610019
Linear OA(219, 21, F2, 13) (dual of [21, 2, 14]-code), using repeating each code word 7 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(219, 21, F2, 12) (dual of [21, 2, 13]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(218, 20, F2, 12) (dual of [20, 2, 13]-code) | [i] | Truncation | |
| 3 | Linear OA(217, 19, F2, 11) (dual of [19, 2, 12]-code) | [i] | ||
| 4 | Linear OA(2254, 277, F2, 109) (dual of [277, 23, 110]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 5 | Linear OA(2125, 148, F2, 45) (dual of [148, 23, 46]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 6 | Linear OA(2124, 148, F2, 44) (dual of [148, 24, 45]-code) | [i] | ||
| 7 | Linear OA(2254, 276, F2, 109) (dual of [276, 22, 110]-code) | [i] | ||
| 8 | Linear OA(2226, 275, F2, 80) (dual of [275, 49, 81]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OA(2258, 307, F2, 92) (dual of [307, 49, 93]-code) | [i] | ||
| 10 | Linear OOA(219, 7, F2, 3, 13) (dual of [(7, 3), 2, 14]-NRT-code) | [i] | OOA Folding | |