Information on Result #701661
Linear OA(2220, 258, F2, 91) (dual of [258, 38, 92]-code), using construction X applied to C([169,4]) ⊂ C([171,4]) based on
- linear OA(2219, 255, F2, 91) (dual of [255, 36, 92]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−86,−85,…,4}, and designed minimum distance d ≥ |I|+1 = 92 [i]
- linear OA(2217, 255, F2, 89) (dual of [255, 38, 90]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,4}, and designed minimum distance d ≥ |I|+1 = 90 [i]
- 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2220, 258, F2, 90) (dual of [258, 38, 91]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2221, 259, F2, 91) (dual of [259, 38, 92]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2219, 257, F2, 90) (dual of [257, 38, 91]-code) | [i] | Truncation | |
| 4 | Linear OA(2218, 256, F2, 89) (dual of [256, 38, 90]-code) | [i] | ||
| 5 | Linear OOA(2220, 129, F2, 2, 91) (dual of [(129, 2), 38, 92]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2220, 86, F2, 3, 91) (dual of [(86, 3), 38, 92]-NRT-code) | [i] | ||