Systems and computer-implemented methods for generating pseudo random numbers

A non-transitory machine-readable medium storing instructions which, when executed by one or more processors, cause an electronic apparatus to perform operations comprising:

• receiving data from a raw entropy source, the data comprising raw entropy to be transformed;
• determining at least a first algebraic number from the data;
• calculating at least one solution to one or more transcendental equations using the at least the first algebraic number as an input parameter value, wherein the one or more transcendental equations comprise a transcendental function that is capable of generating transcendental number outputs from algebraic number inputs;
• determining one or more sequences of pseudo random numbers based on the at least one solution;
• and
• determining an output based on the one or more sequences of pseudo random numbers.

A system comprising:

• one or more processors;
• and
• memory comprising a non-transitory machine-readable which, when executed by the one or more processors, causes the system to:
• receive data from a raw entropy source, the data comprising raw entropy to be transformed;
• determine at least a first algebraic number from the data;
• calculate at least one solution to one or more transcendental equations using the at least the first algebraic number as an input parameter value, wherein the one or more transcendental equations comprise a transcendental function that is capable of generating transcendental number outputs from algebraic number inputs;
• determine one or more sequences of pseudo random numbers based on the at least one solution;
• and
• determine an output based on the one or more sequences of pseudo random numbers.

A computer implemented method comprising:

• receiving data to be hashed;
• determining at least a first algebraic number from the data;
• calculating at least one solution to one or more transcendental equations using the at least the first algebraic number as an input parameter value, wherein the one or more transcendental equations comprise a transcendental function that is capable of generating transcendental number outputs from algebraic number inputs;
• determining one or more sequences of pseudo random numbers based on the at least one solution;
• and
• determining an output based on the one or more sequences of pseudo random numbers, wherein the output comprises a hash of the data.

A non-transitory machine-readable medium storing instructions which, when executed by one or more processors, cause an electronic apparatus to perform operations comprising:

• receiving data to be hashed;
• determining at least a first algebraic number from the data;
• calculating at least one solution to one or more transcendental equations using the at least the first algebraic number as an input parameter value, wherein the one or more transcendental equations comprise a transcendental function that is capable of generating transcendental number outputs from algebraic number inputs;
• determining one or more sequences of pseudo random numbers based on the at least one solution;
• and
• determining an output based on the one or more sequences of pseudo random numbers, wherein the output comprises a hash of the data.

A system comprising:

• one or more processors;
• and
• memory comprising a non-transitory machine-readable which, when executed by the one or more processors, causes the system to:
• receive data to be hashed;
• determine at least a first algebraic number from the data;
• calculate at least one solution to one or more transcendental equations using the at least the first algebraic number as an input parameter value, wherein the one or more transcendental equations comprise a transcendental function that is capable of generating transcendental number outputs from algebraic number inputs;
• determine one or more sequences of pseudo random numbers based on the at least one solution;
• and
• determine an output based on the one or more sequences of pseudo random numbers, wherein the output comprises a hash of the data.