Information on Result #2225266
Linear OA(2211, 258, F2, 86) (dual of [258, 47, 87]-code), using 1 times truncation based on linear OA(2212, 259, F2, 87) (dual of [259, 47, 88]-code), using
- construction X applied to Ce(86) ⊂ Ce(84) [i] based on
- linear OA(2211, 256, F2, 87) (dual of [256, 45, 88]-code), using an extension Ce(86) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87 [i]
- linear OA(2209, 256, F2, 85) (dual of [256, 47, 86]-code), using an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [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(2213, 260, F2, 86) (dual of [260, 47, 87]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2214, 261, F2, 86) (dual of [261, 47, 87]-code) | [i] | ||
| 3 | Linear OA(2215, 262, F2, 86) (dual of [262, 47, 87]-code) | [i] | ||
| 4 | Linear OA(2216, 263, F2, 86) (dual of [263, 47, 87]-code) | [i] | ||
| 5 | Linear OA(2217, 264, F2, 86) (dual of [264, 47, 87]-code) | [i] | ||
| 6 | Linear OA(2218, 265, F2, 86) (dual of [265, 47, 87]-code) | [i] | ||
| 7 | Linear OA(2230, 277, F2, 86) (dual of [277, 47, 87]-code) | [i] | ||
| 8 | Linear OA(2229, 277, F2, 86) (dual of [277, 48, 87]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OA(2238, 287, F2, 86) (dual of [287, 49, 87]-code) | [i] | ||
| 10 | Linear OOA(2211, 129, F2, 2, 86) (dual of [(129, 2), 47, 87]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2211, 86, F2, 3, 86) (dual of [(86, 3), 47, 87]-NRT-code) | [i] | ||
| 12 | Linear OOA(2211, 64, F2, 4, 86) (dual of [(64, 4), 45, 87]-NRT-code) | [i] | ||