Information on Result #1175378
Linear OOA(2129, 1677765, F2, 8, 11) (dual of [(1677765, 8), 13421991, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(213, 45, F2, 8, 5) (dual of [(45, 8), 347, 6]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(213, 45, F2, 5, 5) (dual of [(45, 5), 212, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(213, 45, F2, 4, 5) (dual of [(45, 4), 167, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 13, 45)-net over F2, using
- appending kth column [i] based on linear OOA(213, 45, F2, 4, 5) (dual of [(45, 4), 167, 6]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(213, 45, F2, 5, 5) (dual of [(45, 5), 212, 6]-NRT-code), using
- linear OOA(2116, 1677720, F2, 8, 11) (dual of [(1677720, 8), 13421644, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2116, 8388601, F2, 11) (dual of [8388601, 8388485, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2116, 8388601, F2, 11) (dual of [8388601, 8388485, 12]-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.
Other Results with Identical Parameters
None.
Depending Results
None.