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Generalized wordlength enumerator for asymmetrical designs

Author

Listed:
  • Wang, Kang
  • Zou, Na
  • Qin, Hong

Abstract

In this paper, we extend the study of wordlength enumerator to asymmetrical designs, and unify the generalized α- and β-wordlength pattern with generalized wordlength enumerator. The generalized wordlength enumerator is easy and fast to compute, and can effectively compare and rank symmetrical and asymmetrical designs. A lower bound of generalized wordlength enumerator is provided, and can be used as a benchmark for searching and constructing optimal designs. Numerical results are also provided, which lend further support to our theoretical findings.

Suggested Citation

  • Wang, Kang & Zou, Na & Qin, Hong, 2025. "Generalized wordlength enumerator for asymmetrical designs," Statistics & Probability Letters, Elsevier, vol. 217(C).
    • Handle: RePEc:eee:stapro:v:217:y:2025:i:c:s0167715224002505
    DOI: 10.1016/j.spl.2024.110281
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