1. Introduction .................................................. 5
2. Preliminaries ................................................. 7
3. Construction of association schemes ........................... 8
4. Automorphism group and orbits ................................ 13
5. Equivalent condition I (transitivity of actions) ............. 21
§. Equivalent condition II (association scheme) ................. 23
7. A half of equivalent condition III (wdop) .................... 24
8. A half of equivalent condition III (MacWilliams-type
identity) .................................................... 27
9. MacWilliams-type identity for fragments ...................... 32
Appendix: Recent developments in the theory of poset codes ...... 35
1. Introduction ................................................. 35
2. The poset metric space ( qn,dp) .............................. 36
3. MDS poset codes .............................................. 38
4. Perfect poset codes .......................................... 40
5. MacWilliams identity for poset codes ......................... 45
References ...................................................... 48
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