Abstract
Based on the construction of linear codes recently proposed by Niederriter and Xing, a corresponding generator matrix is derived. The duality operator and the propagation operator of these extended linear codes are studied. A sufficient and necessary condition under which these two operators are commutative is obtained. This commutative property is found useful for constructing the corresponding parity-check matrix and, thus, the error detection/recovery codes.
| Original language | English |
|---|---|
| Pages (from-to) | 258-261 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 49 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2003 |
Research Keywords
- Algebraic function fields
- Duality oprerator
- Generator matrix
- Propagation operator
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