Information on Result #730936
Linear OA(2136, 156, F2, 59) (dual of [156, 20, 60]-code), using residual code based on linear OA(2255, 276, F2, 119) (dual of [276, 21, 120]-code), using
- construction X applied to Ce(118) ⊂ Ce(110) [i] based on
- linear OA(2243, 256, F2, 119) (dual of [256, 13, 120]-code), using an extension Ce(118) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,118], and designed minimum distance d ≥ |I|+1 = 119 [i]
- linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
- linear OA(212, 20, F2, 7) (dual of [20, 8, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2135, 155, F2, 58) (dual of [155, 20, 59]-code) | [i] | Truncation | |
| 2 | Linear OOA(2136, 78, F2, 2, 59) (dual of [(78, 2), 20, 60]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2136, 52, F2, 3, 59) (dual of [(52, 3), 20, 60]-NRT-code) | [i] | ||