Information on Result #673058
Linear OA(2177, 1035, F2, 37) (dual of [1035, 858, 38]-code), using construction X applied to Ce(36) ⊂ Ce(34) based on
- linear OA(2176, 1024, F2, 37) (dual of [1024, 848, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2166, 1024, F2, 35) (dual of [1024, 858, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 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(2176, 1034, F2, 36) (dual of [1034, 858, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(2177, 517, F2, 2, 37) (dual of [(517, 2), 857, 38]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2177, 345, F2, 3, 37) (dual of [(345, 3), 858, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(2177, 258, F2, 4, 37) (dual of [(258, 4), 855, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(2177, 207, F2, 5, 37) (dual of [(207, 5), 858, 38]-NRT-code) | [i] | ||
| 6 | Linear OOA(2177, 172, F2, 6, 37) (dual of [(172, 6), 855, 38]-NRT-code) | [i] | ||
| 7 | Linear OOA(2177, 147, F2, 7, 37) (dual of [(147, 7), 852, 38]-NRT-code) | [i] | ||