Automatically link objects using computation on fields with Entity Framework or SQL Server

Question

I have two "entities", Job Code and Job Family:

public class JobCode{
    public int Code {get;set;}
    public string Name {get;set;}
}

public class JobFamily{
    public int Code {get;set;}
    public string Name {get;set;}
}

JobCode.Code is a 5-digit code, and JobFamily.Code is 2 digits, which correspond with the first 2 digits of a Job Code, so there is an intrinsic relationship that I would like to capture in either the code or the database.

If I use code-first Entity Framework (or if I use database-first), is there a way to get something like:

CREATE TABLE JobFamily
(
    Code int PRIMARY KEY,
    Name varchar(255)
);
CREATE TABLE JobCode
(
    Code int PRIMARY KEY,
    Name varchar(255),
    JobFamily AS (Code / 1000) FOREIGN KEY REFERENCES JobFamily(Code)
);

Is this even possible in SQL Server? I can't find anything saying it's not, but I can't find anyone trying to do it either...