Information on Result #1710863
Linear OOA(2153, 597, F2, 30, 25) (dual of [(597, 30), 17757, 26]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(2153, 1195, F2, 6, 25) (dual of [(1195, 6), 7017, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2153, 1196, F2, 6, 25) (dual of [(1196, 6), 7023, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2153, 1196, F2, 3, 25) (dual of [(1196, 3), 3435, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2153, 1376, F2, 3, 25) (dual of [(1376, 3), 3975, 26]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2152, 1376, F2, 3, 25) (dual of [(1376, 3), 3976, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2152, 4128, F2, 25) (dual of [4128, 3976, 26]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2151, 4127, F2, 25) (dual of [4127, 3976, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2145, 4097, F2, 25) (dual of [4097, 3952, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2121, 4097, F2, 21) (dual of [4097, 3976, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(26, 30, F2, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(2151, 4127, F2, 25) (dual of [4127, 3976, 26]-code), using
- OOA 3-folding [i] based on linear OA(2152, 4128, F2, 25) (dual of [4128, 3976, 26]-code), using
- 21 times duplication [i] based on linear OOA(2152, 1376, F2, 3, 25) (dual of [(1376, 3), 3976, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2153, 1376, F2, 3, 25) (dual of [(1376, 3), 3975, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2153, 1196, F2, 3, 25) (dual of [(1196, 3), 3435, 26]-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 (128, 153, 597)-net over F2 | [i] | Net Defined by OOA | |