Data transmission using puncturing and error correction encoding

A system comprising:

• one or more computer processors;
• and
• one or more computer-readable mediums storing instructions that, when executed by the one or more computer processors, cause the system to perform operations comprising:
• receiving, from a transmitting computing device, an encoded data input, the received encoded data input including a set of individual values;
• determining a number of values included in the set of individual values;
• comparing the number of values included in the set of individual values to a threshold number, yielding a comparison;
• in response to determining, based on the comparison, that the number of values included in the set of individual values exceeds the threshold number, performing a first puncturing of the received encoded data input by removing at least one individual value from the set of individual values, the first puncturing yielding a first punctured encoded data input including a reduced number of individual values that does not exceed the threshold number, the first punctured encoded data input including a first subset of the individual values from the set of individual values;
• determining whether the first punctured encoded data input maps to any predetermined data outputs from a set of predetermined data outputs;
• and
• in response to determining that the first punctured encoded data input maps to a first predetermined data output from the set of predetermined data outputs, determining that the received encoded data input corresponds to the first predetermined data output.

A non-transitory computer-readable medium storing instructions that, when executed by one or more computer processors of a computing system, cause the computing system to perform operations comprising:

• receiving, from a transmitting computing device, an encoded data input, the received encoded data input including a set of individual values;
• determining a number of values included in the set of individual values;
• comparing the number of values included in the set of individual values to a threshold number, yielding a comparison;
• in response to determining, based on the comparison, that the number of values included in the set of individual values exceeds the threshold number, performing a first puncturing of the received encoded data input by removing at least one individual value from the set of individual values, the first puncturing yielding a first punctured encoded data input including a reduced number of individual values that does not exceed the threshold number, the first punctured encoded data input including a first subset of the individual values from the set of individual values;
• determining whether the first punctured encoded data input maps to any predetermined data outputs from a set of predetermined data outputs;
• and
• in response to determining that the first punctured encoded data input maps to a first predetermined data output from the set of predetermined data outputs, determining that the received encoded data input corresponds to the first predetermined data output.