Information on Result #610020
Linear OA(216, 18, F2, 11) (dual of [18, 2, 12]-code), using repeating each code word 6 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(216, 18, F2, 10) (dual of [18, 2, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(215, 17, F2, 10) (dual of [17, 2, 11]-code) | [i] | Truncation | |
| 3 | Linear OA(214, 16, F2, 9) (dual of [16, 2, 10]-code) | [i] | ||
| 4 | Linear OA(2123, 154, F2, 44) (dual of [154, 31, 45]-code) | [i] | Construction XX with Cyclic Codes | |
| 5 | Linear OA(2251, 274, F2, 107) (dual of [274, 23, 108]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 6 | Linear OA(2115, 146, F2, 43) (dual of [146, 31, 44]-code) | [i] | ||
| 7 | Linear OA(2125, 156, F2, 45) (dual of [156, 31, 46]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 8 | Linear OA(2251, 273, F2, 107) (dual of [273, 22, 108]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 9 | Linear OA(2218, 267, F2, 76) (dual of [267, 49, 77]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OOA(216, 9, F2, 2, 11) (dual of [(9, 2), 2, 12]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(216, 6, F2, 3, 11) (dual of [(6, 3), 2, 12]-NRT-code) | [i] | ||