In The Unicode Standard, Tai Viet script implementation is discussed in  Chapter 16 Southeast Asia.

The Tai Viet script was encoded in The Unicode Standard version 5.2. The script is encoded in the following block:

BlocksCharacter RangeAdded in Unicode VersionUnicode Chart
Tai Viet AA80..AADF 5.2  UAA80.pdf

A number of proposals for its inclusion have been submitted to the Unicode Technical Committee and WG2:

2006-01-30 Unified Tai Script for Unicode — Ngo Trung Viet, Jim Brase ( L2/06-041)

2007-01-03 Workshop on Encoding and Digitizing Thai Scripts — Jim Brase ( L2/07-008)

2007-02-01 Comments on Viet Tay Proposal — Peter Constable ( L2/07-056)

2007-02-06 Tay Viet Script for Unicode — Jim Brase ( L2/07-039)

2007-03-20 Proposal to encode the Tai Viet script in the UCS — Jim Brase ( WG2 N3220,  L2/07-099)

2007-03-21 Support for the proposal (N3220) to encode the Tai Viet script — Vũ Văn Điền (Vietnam N.B.) ( WG2 N3221.doc,  L2/07-100)

2008-05-09 Writing Tai Don - Additional characters needed for the Tai Viet script — Jim Brase ( L2/08-217)

2010-09-17 Proposal to change UAX#29 in response to Thai, Lao, Tai Dam user needs — Martin Hosken ( L2/10-460)

2011-04-18 Proposal to change grapheme extending properties of various characters — Martin Hosken ( L2/11-114)