Information on Result #674210
Linear OA(243, 54, F2, 19) (dual of [54, 11, 20]-code), using construction X applied to Ce(30) ⊂ Ce(10) based on
- linear OA(231, 32, F2, 31) (dual of [32, 1, 32]-code or 32-arc in PG(30,2)), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(221, 32, F2, 11) (dual of [32, 11, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(212, 22, F2, 7) (dual of [22, 10, 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
None.