Information on Result #1711875
Linear OOA(2232, 1882, F2, 40, 32) (dual of [(1882, 40), 75048, 33]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(2232, 3765, F2, 8, 32) (dual of [(3765, 8), 29888, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2232, 3766, F2, 8, 32) (dual of [(3766, 8), 29896, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2232, 3766, F2, 4, 32) (dual of [(3766, 4), 14832, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2232, 4105, F2, 4, 32) (dual of [(4105, 4), 16188, 33]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2232, 16420, F2, 32) (dual of [16420, 16188, 33]-code), using
- strength reduction [i] based on linear OA(2232, 16420, F2, 33) (dual of [16420, 16188, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- linear OA(2225, 16385, F2, 33) (dual of [16385, 16160, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2197, 16385, F2, 29) (dual of [16385, 16188, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(27, 35, F2, 3) (dual of [35, 28, 4]-code or 35-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([0,16]) ⊂ C([0,14]) [i] based on
- strength reduction [i] based on linear OA(2232, 16420, F2, 33) (dual of [16420, 16188, 34]-code), using
- OOA 4-folding [i] based on linear OA(2232, 16420, F2, 32) (dual of [16420, 16188, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(2232, 4105, F2, 4, 32) (dual of [(4105, 4), 16188, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2232, 3766, F2, 4, 32) (dual of [(3766, 4), 14832, 33]-NRT-code), using
Mode: 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 (200, 232, 1882)-net over F2 | [i] | Net Defined by OOA | |