Data transmission using puncturing and code sequences

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, a sequenced data input, the sequenced data input including a set of individual values;
• in response to determining that a number of individual values from the set of individual values exceeds a threshold value, performing a first puncturing of the sequenced data input, the first puncturing yielding a first punctured data input, the first punctured data input including a first subset of the individual values from the set of individual values, wherein a number of individual values included in the first subset of the individual values does not exceed the threshold value;
• for each respective predetermined data output from a set of predetermined data outputs, calculating a correlation value indicating similarity between the respective predetermined data output and the first punctured data input, yielding a first set of correlation values;
• determining, based on the first set of correlation values, whether the first punctured data input correlates to any predetermined data outputs from the set of predetermined data outputs;
• and
• in response to determining that the first punctured data input correlates to a first predetermined data output from the set of predetermined data outputs, determining that the sequenced 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 receiving computing device, cause the receiving computing device to perform operations comprising:

• receiving, from a transmitting computing device, a sequenced data input, the sequenced data input including a set of individual values;
• in response to determining that a number of individual values from the set of individual values exceeds a threshold value, performing a first puncturing of the sequenced data input, the first puncturing yielding a first punctured data input, the first punctured data input including a first subset of the individual values from the set of individual values, wherein a number of individual values included in the first subset of the individual values does not exceed the threshold value;
• for each respective predetermined data output from a set of predetermined data outputs, calculating a correlation value indicating similarity between the respective predetermined data output and the first punctured data input, yielding a first set of correlation values;
• determining, based on the first set of correlation values, whether the first punctured data input correlates to any predetermined data outputs from the set of predetermined data outputs;
• and
• in response to determining that the first punctured data input correlates to a first predetermined data output from the set of predetermined data outputs, determining that the sequenced data input corresponds to the first predetermined data output.