Information on Result #805311
Linear OOA(222, 518, F2, 2, 5) (dual of [(518, 2), 1014, 6]-NRT-code), using OOA 2-folding based on linear OA(222, 1036, F2, 5) (dual of [1036, 1014, 6]-code), using
- construction X4 applied to Ce(4) ⊂ Ce(2) [i] based on
- linear OA(221, 1024, F2, 5) (dual of [1024, 1003, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(211, 1024, F2, 3) (dual of [1024, 1013, 4]-code or 1024-cap in PG(10,2)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(211, 12, F2, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,2)), using
- dual of repetition code with length 12 [i]
- linear OA(21, 12, F2, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.
Other Results with Identical Parameters
None.
Depending Results
None.