Information on Result #2227043
Linear OA(2259, 2075, F2, 46) (dual of [2075, 1816, 47]-code), using 1 times truncation based on linear OA(2260, 2076, F2, 47) (dual of [2076, 1816, 48]-code), using
- construction X applied to Ce(46) ⊂ Ce(42) [i] based on
- linear OA(2254, 2048, F2, 47) (dual of [2048, 1794, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(2232, 2048, F2, 43) (dual of [2048, 1816, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(26, 28, F2, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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 OOA(2259, 1037, F2, 2, 46) (dual of [(1037, 2), 1815, 47]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2259, 691, F2, 3, 46) (dual of [(691, 3), 1814, 47]-NRT-code) | [i] | ||
| 3 | Linear OOA(2259, 518, F2, 4, 46) (dual of [(518, 4), 1813, 47]-NRT-code) | [i] | ||
| 4 | Linear OOA(2259, 415, F2, 5, 46) (dual of [(415, 5), 1816, 47]-NRT-code) | [i] | ||
| 5 | Linear OOA(2259, 345, F2, 6, 46) (dual of [(345, 6), 1811, 47]-NRT-code) | [i] | ||
| 6 | Linear OOA(2259, 296, F2, 7, 46) (dual of [(296, 7), 1813, 47]-NRT-code) | [i] | ||
| 7 | Linear OOA(2259, 259, F2, 8, 46) (dual of [(259, 8), 1813, 47]-NRT-code) | [i] | ||