Information on Result #722459
Linear OA(1693, 262, F16, 54) (dual of [262, 169, 55]-code), using construction X applied to C([102,155]) ⊂ C([103,154]) based on
- linear OA(1692, 257, F16, 54) (dual of [257, 165, 55]-code), using the BCH-code C(I) with length 257 | 164−1, defining interval I = {102,103,…,155}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(1688, 257, F16, 52) (dual of [257, 169, 53]-code), using the BCH-code C(I) with length 257 | 164−1, defining interval I = {103,104,…,154}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1693, 262, F16, 53) (dual of [262, 169, 54]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(1695, 264, F16, 54) (dual of [264, 169, 55]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(1692, 261, F16, 53) (dual of [261, 169, 54]-code) | [i] | Truncation | |
| 4 | Linear OA(1698, 271, F16, 54) (dual of [271, 173, 55]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(1699, 277, F16, 54) (dual of [277, 178, 55]-code) | [i] | ||
| 6 | Linear OOA(1693, 131, F16, 2, 54) (dual of [(131, 2), 169, 55]-NRT-code) | [i] | OOA Folding | |