Information on Result #673973
Linear OA(2119, 155, F2, 43) (dual of [155, 36, 44]-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(220, 27, F2, 11) (dual of [27, 7, 12]-code), using
- residual code [i] based on linear OA(243, 51, F2, 23) (dual of [51, 8, 24]-code), using
- concatenation of two codes [i] based on
- residual code [i] based on linear OA(243, 51, F2, 23) (dual of [51, 8, 24]-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(2118, 154, F2, 42) (dual of [154, 36, 43]-code) | [i] | Truncation | |
| 2 | Linear OOA(2119, 77, F2, 2, 43) (dual of [(77, 2), 35, 44]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2119, 51, F2, 3, 43) (dual of [(51, 3), 34, 44]-NRT-code) | [i] | ||