Information on Result #1297254
Linear OA(2129, 176, F2, 42) (dual of [176, 47, 43]-code), using construction X with Varšamov bound based on
- linear OA(2124, 170, F2, 42) (dual of [170, 46, 43]-code), using
- residual code [i] based on linear OA(2209, 256, F2, 85) (dual of [256, 47, 86]-code), using
- an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- residual code [i] based on linear OA(2209, 256, F2, 85) (dual of [256, 47, 86]-code), using
- linear OA(2124, 171, F2, 37) (dual of [171, 47, 38]-code), using Gilbert–Varšamov bound and bm = 2124 > Vbs−1(k−1) = 13 289956 929590 411125 684126 918638 979282 [i]
- linear OA(24, 5, F2, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,2)), using
- dual of repetition code with length 5 [i]
Mode: 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
None.