Networking systems and methods using multipath asynchronous Galois information coding

A method for transmitting information from a data source to a client device, comprising:

• receiving, by a server computer from the data source, information to be transmitted to the client device;
• encoding, by the server computer, the information in a Galois field;
• dividing, by the server computer, the encoded information into a plurality of fixed-size vectors;
• selecting, by the server computer, a subset of the plurality of fixed-size vectors;
• generating, by the server computer, a coefficient for each of the selected set of the plurality of fixed-size vectors, where the coefficient is any natural number;
• generating, by the server, a superposition of the selected subset of the plurality of fixed-size vectors, the superposition comprising a sum of each of the selected subset of the plurality of fixed-size vectors multiplied by their respective coefficient;
• and
• transmitting, by the server computer, the superposition to the client device.

A system for transmitting information from a data source to a client device, comprising:

• a software module for use on a server computer comprising one or more processors and one or more memories, the software module including instructions stored on a non-transitory computer readable medium that:
• receive, from the data source, information to be transmitted to the client device;
• encode, by the server, the information in a Galois field;
• divide, by the server, the encoded information into a plurality of fixed-size vectors;
• select, by the server, a subset of the plurality of fixed-size vectors;
• generate, by the server, a coefficient for each of the selected set of the plurality of fixed-size vectors, where the coefficient is any natural number and where the coefficient is determined based on control information;
• generate, by the server, a superposition of the selected subset of the plurality of fixed-size vectors, the superposition comprising a sum of each of the selected subset of the plurality of fixed-size vectors multiplied by their respective coefficient;
• transmit, by the server, the superposition and the control information to the client device over a selected one of a plurality of communication links, the plurality of communications links including at least one wireless communication link and at least one wired communication link;
• and
• continuously generate and transmit, by the server computer over the plurality of communication links, the superpositions and associated control information to the client device until an end condition is met;
• and
• a second software module for use on a client device comprising one or more processors and one or more memories, the second software module including instructions stored on a non-transitory computer readable medium that:
• receive, from the server, the superpositions;
• and
• decode, by the client device, the superpositions to determine a value for each of the selected subset of fixed-size fragments.