Information on Result #945458
Linear OOA(2160, 1398111, F2, 3, 14) (dual of [(1398111, 3), 4194173, 15]-NRT-code), using OOA 3-folding based on linear OA(2160, 4194333, F2, 14) (dual of [4194333, 4194173, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2160, 4194335, F2, 14) (dual of [4194335, 4194175, 15]-code), using
- 1 times truncation [i] based on linear OA(2161, 4194336, F2, 15) (dual of [4194336, 4194175, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(2155, 4194304, F2, 15) (dual of [4194304, 4194149, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2111, 4194304, F2, 11) (dual of [4194304, 4194193, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- 1 times truncation [i] based on linear OA(2161, 4194336, F2, 15) (dual of [4194336, 4194175, 16]-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.
Other Results with Identical Parameters
None.
Depending Results
None.