Created
October 29, 2013 00:17
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Python implementation of Hamming (7,4) encoding.
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# Hamming (7,4) Coding | |
# | |
# Reads binary stream from standard input and outputs Hamming (7,4) encoded | |
# version to standard output. | |
# | |
# USAGE: python h74-encode.py | |
# | |
# EXAMPLE: | |
# $ echo "0001" | python h74-encode.py | |
# 1000101 | |
# | |
# AUTHOR: Mark Reid <[email protected]> | |
# CREATED: 2013-10-21 | |
import sys | |
K = 4 | |
def encode(s): | |
"""Read in K=4 bits at a time and write out those plus parity bits""" | |
while len(s) >= K: | |
nybble = s[0:K] | |
sys.stdout.write(hamming(nybble)) | |
s = s[K:] | |
def hamming(bits): | |
"""Return given 4 bits plus parity bits for bits (1,2,3), (2,3,4) and (1,3,4)""" | |
t1 = parity(bits, [0,1,2]) | |
t2 = parity(bits, [1,2,3]) | |
t3 = parity(bits, [0,2,3]) | |
return bits + t1 + t2 + t3 | |
def parity(s, indicies): | |
"""Compute the parity bit for the given string s and indicies""" | |
sub = "" | |
for i in indicies: | |
sub += s[i] | |
return str(str.count(sub, "1") % 2) | |
################################################################################### | |
# Main | |
if __name__ == "__main__": | |
input_string = sys.stdin.read().strip() | |
encode(input_string) |
The parity function, as written, is taking the 3 bits (one from each of the indices), concatenating them into a string, and then counting the number of 1's in that resultant string. If the number of 1's mod 2 is the parity bit.
When sub = 101 then str.count() will be 2, and 2 % 2 = 0, so parity() returns 0. If sub = 111 or 010 (str.count() = 3 or 1) or anything else with an odd # of 1's then str.count() will return 1 as parity.
Why not implement (8, 4) hamming code?
Hi!
when trying to process it, it gives wrong answer..
I've checked it myself manually
It's wrong.
is it ok?
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can you please explain the parity function