# ApCoCoA-1:SAT.ConvertToXOR

## SAT.ConvertToXOR

Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to XOR-CNF. Writes the XOR-CNF to the file "sat_xor.cnf".

Note: XOR-CNF files are only applicable with CryptoMiniSat!

### Syntax

```SAT.ConvertToXOR(SPE:LIST, QStrategy:INT)
```

### Description

This function starts an alternative conversion algorithm.

• @param SPE: A List containing the polynomial equations of the system.

• @param QStrategy: Strategy for quadratic substitution. 0 - Standard; 1 - Linear Partner; 2 - Adv. Lin. Partner;

#### Example

```-- quadratic system:
Use R::=ZZ/(2)[x[1..3]];
F1:= xx + xx + xx + x;
F2:= x + 1;
F3:= xx + x;
SPE:=[F1,F2,F3];
SAT.ConvertToXOR(SPE,0);
SAT.LaunchCryptoMiniSat("sat_xor.cnf");
SAT.GetResult();
--Result: [0,1,0] Test with: Eval(SPE,[0,1,0]);
```

#### Example

```-- cubic system:
Use ZZ/(2)[x[1..3]];
F1:=xxx + xx + xx + x + x +1;
F2:=xxx + xx + xx + x + x;
F3:=xx + xx + x;
SPE:=[F1,F2,F3];
SAT.ConvertToXOR(SPE,0);
SAT.LaunchCryptoMiniSat("sat_xor.cnf");
SAT.GetResult();
--Result: [0,0,1] Test with: Eval(SPE,[0,0,1]);
```