/// <summary>
        /// Finishes deserializing once json deserialization is complete.
        /// </summary>
        /// <param name="group">May be null. Used only if group was not serialized.</param>
        /// <param name="bases">May be null.  Used only if group was not serialized.</param>
        public void FinishDeserializing(Group group, GroupElement[] bases)
        {
            // get group
            if (this.Group == null)
            {
                if (group == null)
                {
                    throw new SerializationException("Cannot deserialize because serialized group and group argument are both null.");
                }
                this.Group = group;
            }

            // get value
            this.Value = CryptoSerializer.DeserializeGroupElement(_value, this.Group);

            // get bases
            if (this._bases == null)
            {
                if (bases == null)
                {
                    throw new SerializationException("Cannot deserialize because serialized bases and bases argument are both null.");
                }
                if (bases.Length == this._representationLength)
                {
                    this.Bases = bases;
                }
                else
                {
                    this.Bases = new GroupElement[this._representationLength];
                    for (int i = 0; i < this.Bases.Length; ++i)
                    {
                        this.Bases[i] = bases[i];
                    }
                }
            }
            else
            {
                this.Bases = CryptoSerializer.DeserializeGroupElementArray(this._bases, "bases", this.Group);
            }

            // get exponents
            if (this._exponents == null)
            {
                this.Exponents = null;
            }
            else
            {
                this.Exponents = CryptoSerializer.DeserializeFieldZqElementArray(this._exponents, "Exponents", this.Group);
                if (this.Exponents.Length != this.Bases.Length)
                {
                    throw new SerializationException("Cannot Deserialize. Must have equal number of exponents and bases.");
                }
            }
        }