of the shortest codeword vs with the shortest codeword

Both phrases are correct, but they are used in different contexts. 'Of the shortest codeword' is used when comparing different codewords to determine which one is the shortest. 'With the shortest codeword' is used when referring to a specific codeword that is the shortest among a group.

Last updated: March 17, 2024 • 655 views

of the shortest codeword

This phrase is correct and commonly used when comparing different codewords to find the shortest one.

This phrase is used when you are comparing multiple codewords to identify which one is the shortest in terms of length or size.

Show examples from the web [+]

—the coefficient in front of x^{-\ell} —is the number of distinct codewords of length \ell . Here min is the length of the shortest codeword in S, and max is the length ...
We demonstrate properties of synchronizing codewords and, in particular, give some relationships between the length of the shortest codeword and the length ...
while the Chaitin complexity C(X,, - * - ,X&I) is a random x(~)E(O,l)” p(x(n+g c,,p citn,ln,) +c', using (3%. A variable equal to the length of the shortest codeword.
the length of the shortest codeword(s) for a given source, i.e., m = minfi j ni > 0g. Proposition 2 dealt with the case m = 1, and in the next theorem we generalize it.

Alternatives:

of the longest codeword
of the smallest codeword
of the largest codeword
of the fastest codeword
of the slowest codeword

with the shortest codeword

This phrase is correct and commonly used when referring to a specific codeword that is the shortest among a group.

This phrase is used when you want to specify a particular codeword that is the shortest in length or size among a group of codewords.

Show examples from the web [+]

code with the shortest codeword of length m (m > 1). Let c1c2…cr be a synchronising codeword of C such that r = m + 1 and c1 = 0 (resp. 1). Then, ci = 1 (resp.
Nov 9, 2010 ... (d) For each symbol x, we choose the binary Huffman code with the shortest codeword length, that is, l(x) = mink lk(x) and we add ⌈log2 K⌉ bits ...
methods is to substitute the most frequent symbol with the shortest codeword. The com- pression effectiveness of these compressors is quite poor. They achieve ...
exists (plausibly, the closest longest match or the one with the shortest codeword) . 2.2 Recycling versions using non-determinism. Now, we show how to add bit ...

Alternatives:

with the longest codeword
with the smallest codeword
with the largest codeword
with the fastest codeword
with the slowest codeword

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of the shortest codeword vs with the shortest codeword