Information on Result #673981
Linear OA(2108, 144, F2, 37) (dual of [144, 36, 38]-code), using construction X applied to Ce(42) ⊂ Ce(30) based on
- linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(292, 128, F2, 31) (dual of [128, 36, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(29, 16, F2, 5) (dual of [16, 7, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
- extended quadratic residue code Qe(18,2) [i]
- discarding factors / shortening the dual code based on linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-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 OOA(2108, 48, F2, 3, 37) (dual of [(48, 3), 36, 38]-NRT-code) | [i] | OOA Folding | |