Information on Result #3250597
Digital (156, 174, 58256)-net over F2, using 21 times duplication based on digital (155, 173, 58256)-net over F2, using
- t-expansion [i] based on digital (154, 173, 58256)-net over F2, using
- net defined by OOA [i] based on linear OOA(2173, 58256, F2, 19, 19) (dual of [(58256, 19), 1106691, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2173, 524305, F2, 19) (dual of [524305, 524132, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2173, 524308, F2, 19) (dual of [524308, 524135, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(2172, 524288, F2, 19) (dual of [524288, 524116, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2153, 524288, F2, 17) (dual of [524288, 524135, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(21, 20, F2, 1) (dual of [20, 19, 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
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(2173, 524308, F2, 19) (dual of [524308, 524135, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2173, 524305, F2, 19) (dual of [524305, 524132, 20]-code), using
- net defined by OOA [i] based on linear OOA(2173, 58256, F2, 19, 19) (dual of [(58256, 19), 1106691, 20]-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.