Information on Result #1181995
Linear OOA(2194, 52431, F2, 21, 21) (dual of [(52431, 21), 1100857, 22]-NRT-code), using OOA 10-folding and stacking with additional row based on linear OA(2194, 524311, F2, 21) (dual of [524311, 524117, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2193, 524310, F2, 21) (dual of [524310, 524117, 22]-code), using
- adding a parity check bit [i] based on linear OA(2192, 524309, F2, 20) (dual of [524309, 524117, 21]-code), using
- construction X4 applied to C([0,20]) ⊂ C([1,18]) [i] based on
- linear OA(2191, 524287, F2, 21) (dual of [524287, 524096, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2171, 524287, F2, 18) (dual of [524287, 524116, 19]-code), using 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(221, 22, F2, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,2)), using
- dual of repetition code with length 22 [i]
- linear OA(21, 22, F2, 1) (dual of [22, 21, 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 X4 applied to C([0,20]) ⊂ C([1,18]) [i] based on
- adding a parity check bit [i] based on linear OA(2192, 524309, F2, 20) (dual of [524309, 524117, 21]-code), using
Mode: Constructive and linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (173, 194, 52431)-net over F2 | [i] | Net Defined by OOA | |