Existence of time-invariant convolutional codes with transmission rate \(2/c\) for \(c \geq{}4\) attaining the Costello bound (Q1179606)
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scientific article; zbMATH DE number 25019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of time-invariant convolutional codes with transmission rate \(2/c\) for \(c \geq{}4\) attaining the Costello bound |
scientific article; zbMATH DE number 25019 |
Statements
Existence of time-invariant convolutional codes with transmission rate \(2/c\) for \(c \geq{}4\) attaining the Costello bound (English)
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26 June 1992
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A lower bound for the weights of codewords generated by time-invariant \((c,2)\)-convolutional encoders \((c\geq 4)\) is derived. From this lower bound it follows that there exist rate \(2/c\) convolutional codes whose free distance \(d_{free}\) asymptotically meets the Costello-bound.
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free distance
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lower bound
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convolutional codes
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Costello- bound
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0.88410056
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0.86526465
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0.85988516
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0.84677076
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0.8465259
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0.8445601
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