Information on Result #1181870
Digital (171, 191, 52430)-net over F2, using net defined by OOA based on linear OOA(2191, 52430, F2, 20, 20) (dual of [(52430, 20), 1048409, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(2191, 524300, F2, 20) (dual of [524300, 524109, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2191, 524307, F2, 20) (dual of [524307, 524116, 21]-code), using
- 1 times truncation [i] based on linear OA(2192, 524308, F2, 21) (dual of [524308, 524116, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(2191, 524288, F2, 21) (dual of [524288, 524097, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 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(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(20) ⊂ Ce(18) [i] based on
- 1 times truncation [i] based on linear OA(2192, 524308, F2, 21) (dual of [524308, 524116, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2191, 524307, F2, 20) (dual of [524307, 524116, 21]-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.