Storing (E-)optimal designs

[r.a.bailey at qmul.ac.uk]

Looks good to me,

Ro in Brisbane

> 
> Dear All,
> 
> This email contains a proposal for how to organise the E-optimal designs
> which JP is producing into our file-based "database" of block designs.
> The proposal follows discussions with JP and Peter D.
> 
> I propose a new content indicator E, with E1, E2, E3, ...  having the
> meanings defined in the external representation.  For example, the file
> v6-b8-k3-E1.a.xml  would contain all (up to isomorphism) E-optimal binary
> connected block designs with v=6, b=8, k=3.  Note that, for optimality
> criteria, *optimal* always means best in the class of binary designs
> with the same (v,b,k).
> 
> We could, in due course, have new content indicators  phi  and  mv
> for the other optimality criteria.
> 
> I should emphasize that our present file-based "database" is an
> intermediate (and imperfect) mechanism to structure our large and growing
> collection of lists of designs, to make them accessible to the outside
> world in categories of interest (e.g. t-designs), and to be able to
> make assertions about the content of a file (e.g. this file contains
> all binary connected block designs up to isomorphism with this (v,b,r,k)).
> 
> So for now, we should have a new directory  v-b-k-E  in which JP can 
> place his E1-optimal designs. In due course we may decide to store lists
> of optimal designs (with respect to one or more optimality criteria)
> together in the same file for a given (v,b,k) and will need further 
> conventions -- we shall see.
> 
> Suggestions for improvements are welcome.
> 
> Regards,  Leonard
>   
> 
> 
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-- 
R. A. Bailey
       
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