Information on Result #1181397
Linear OOA(2184, 524294, F2, 17, 17) (dual of [(524294, 17), 8912814, 18]-NRT-code), using OOA 8-folding and stacking with additional row based on linear OA(2184, 4194353, F2, 17) (dual of [4194353, 4194169, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, 4194356, F2, 17) (dual of [4194356, 4194172, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(2177, 4194305, F2, 17) (dual of [4194305, 4194128, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 244−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2133, 4194305, F2, 13) (dual of [4194305, 4194172, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 244−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(27, 51, F2, 3) (dual of [51, 44, 4]-code or 51-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([0,8]) ⊂ C([0,6]) [i] based on
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 (167, 184, 524294)-net over F2 | [i] | Net Defined by OOA | |