Information on Result #3251113
Digital (225, 249, 87385)-net over F2, using 21 times duplication based on digital (224, 248, 87385)-net over F2, using
- t-expansion [i] based on digital (223, 248, 87385)-net over F2, using
- net defined by OOA [i] based on linear OOA(2248, 87385, F2, 25, 25) (dual of [(87385, 25), 2184377, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2248, 1048621, F2, 25) (dual of [1048621, 1048373, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2248, 1048624, F2, 25) (dual of [1048624, 1048376, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2241, 1048577, F2, 25) (dual of [1048577, 1048336, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2201, 1048577, F2, 21) (dual of [1048577, 1048376, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(27, 47, F2, 3) (dual of [47, 40, 4]-code or 47-cap in PG(6,2)), using
- discarding factors / shortening the dual code based on linear OA(27, 63, F2, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 4 [i]
- discarding factors / shortening the dual code based on linear OA(27, 63, F2, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2248, 1048624, F2, 25) (dual of [1048624, 1048376, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2248, 1048621, F2, 25) (dual of [1048621, 1048373, 26]-code), using
- net defined by OOA [i] based on linear OOA(2248, 87385, F2, 25, 25) (dual of [(87385, 25), 2184377, 26]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.