How to create a table corresponding to enum in EF6 Code First?

Based on @Alberto Monteiro answer i've created generic class in case when you have several tables. The notice here is that Id is the type of TEnum. Using it in such way will provide option to use Enum for declaring property type.

public class Question
{
    public QuestionTypeEnum QuestionTypeId { get; set; } // field property

    public QuestionType QuestionType { get; set; } // navigation property
}

By default Enum using integers, so the db provider will create field with "int" type.

EnumTable.cs

    public class EnumTable<TEnum>
        where TEnum : struct
    {
        public TEnum Id { get; set; }
        public string Name { get; set; }

        protected EnumTable() { }

        public EnumTable(TEnum enumType)
        {
            ExceptionHelpers.ThrowIfNotEnum<TEnum>();

            Id = enumType;
            Name = enumType.ToString();
        }

        public static implicit operator EnumTable<TEnum>(TEnum enumType) => new EnumTable<TEnum>(enumType);
        public static implicit operator TEnum(EnumTable<TEnum> status) => status.Id;
    }

ExceptionHelpers.cs

static class ExceptionHelpers
{
    public static void ThrowIfNotEnum<TEnum>()
        where TEnum : struct
    {
        if (!typeof(TEnum).IsEnum)
        {
            throw new Exception($"Invalid generic method argument of type {typeof(TEnum)}");
        }
    }
}

Now you just can inherit the EnumTable

public enum QuestionTypeEnum
{
    Closed = 0,
    Open = 1
}

public class QuestionType : EnumTable<QuestionTypeEnum>
{
    public QuestionType(QuestionTypeEnum enumType) : base(enumType)
    {
    }

    public QuestionType() : base() { } // should excplicitly define for EF!
}

Seed the values

context.QuestionTypes.SeedEnumValues<QuestionType, QuestionTypeEnum>(e => new QuestionType(e));

Since EF doesn't handle it automatically, yes, this is the recommend way.

I suggest some modifications in article that you provided.

Rename your enum

public enum FacultyEnum { Eng, Math, Eco }

Create a class that represent the table

public class Faculty
{
    private Faculty(FacultyEnum @enum)
    {
        Id = (int)@enum;
        Name = @enum.ToString();
        Description = @enum.GetEnumDescription();
    }

    protected Faculty() { } //For EF

    [Key, DatabaseGenerated(DatabaseGeneratedOption.None)]
    public int Id { get; set; }

    [Required, MaxLength(100)]
    public string Name { get; set; }

    [MaxLength(100)]
    public string Description { get; set; }

    public static implicit operator Faculty(FacultyEnum @enum) => new Faculty(@enum);

    public static implicit operator FacultyEnum(Faculty faculty) => (FacultyEnum)faculty.Id;
}

Your model reference the class

public class ExampleClass
{
    public virtual Faculty Faculty { get; set; }
}

Create a extension method to get description from enum and seed values

using System;
using System.ComponentModel;
using System.Data.Entity;
using System.Data.Entity.Migrations;
using System.Linq;

public static class Extensions
{
    public static string GetEnumDescription<TEnum>(this TEnum item)
        => item.GetType()
               .GetField(item.ToString())
               .GetCustomAttributes(typeof(DescriptionAttribute), false)
               .Cast<DescriptionAttribute>()
               .FirstOrDefault()?.Description ?? string.Empty;

    public static void SeedEnumValues<T, TEnum>(this IDbSet<T> dbSet, Func<TEnum, T> converter)
        where T : class => Enum.GetValues(typeof(TEnum))
                               .Cast<object>()
                               .Select(value => converter((TEnum)value))
                               .ToList()
                               .ForEach(instance => dbSet.AddOrUpdate(instance));
}

Add the seed in Configuration.cs

protected override void Seed(Temp.MyClass context)
{
    context.Facultys.SeedEnumValues<Faculty, FacultyEnum>(@enum => @enum);
    context.SaveChanges();
}

Add the enum table in your DbContext

public class MyClass : DbContext
{
    public DbSet<ExampleClass> Examples { get; set; }
    public DbSet<Faculty> Facultys { get; set; }
}

Use it

var example = new ExampleClass();
example.Faculty = FacultyEnum.Eng;

if (example.Faculty == FacultyEnum.Math)
{
    //code
}

To remember

If you don't add virtual in Faculty property, you must use Include method from DbSet to do Eager Load

var exampleFromDb = dbContext.Examples.Include(x => x.Faculty).SingleOrDefault(e => e.Id == 1);
if (example.Faculty == FacultyEnum.Math)
{
    //code
}

If Faculty property is virtual, then just use it

var exampleFromDb = dbContext.Examples.Find(1);
if (example.Faculty == FacultyEnum.Math)
{
    //code
}

Another possibility, if you want to keep your model simpler, POCO style, use the enum as a property that will be stored as an integer by entity framework.

Then, if you want the "enum tables" to be created and updated in your DB, I recommend using the nuget package https://github.com/timabell/ef-enum-to-lookup and use it in a EF Migration seed method for example:

public enum Shape
{
    Square,
    Round
}

public class Foo
{
    public int Id { get; set; }
    public Shape Shape { get; set; }
}

public class MyDbContext : DbContext
{
    public DbSet<Foo> Foos { get; set; }
}

using(var context = new MyDbContext())
{
    var enumToLookup = new EnumToLookup
    {
        TableNamePrefix = string.Empty,
        NameFieldLength = 50,
        UseTransaction = true
    };
    enumToLookup.Apply(context);
}

This will create the "Shape" table with 2 rows named Square and Round, with the relevant foreign key constraint in the table "Foo"