A00 Irregular Openings (1.b4)

One other name for this opening is A00 Polish Opening. Lichess.org, for example, gives that name for it.

[Event "Chessmaster 8000 Rated Game"] [Site "?"] [Date "2002.06.04"] [Round "?"] [White "Vierjoki, Timo"] [Black "Josie"] [Result "1-0"] [ECO "A00"] [Annotator "Tactical Analysis 2.10 (30s)"] [PlyCount "55"] [EventDate "2002.??.??"] 1. b4 {A00 Irregular Openings} Na6 2. c3 Nf6 $146 (2... c5 3. b5 Nc7 4. a4 b6 5. c4 e5 6. Bb2 d6 7. Nc3 f5 8. e3 Bb7 9. d4 Qe7 10. d5 Nf6 11. a5 Qd8 12. axb6 axb6 13. Rxa8 Qxa8 14. Qa4 Qxa4 15. Nxa4 Nd7 16. Bd3 g6 17. Ne2 {Nielsen, P-Mortensen,H (2095) Copenhagen 1996 1/2-1/2}) 3. Bb2 e6 4. a3 Nh5 5. e4 c6 $2 {4.27/26 [#]} (5... g6 $1 $14 {0.55/27}) 6. Qxh5 $18 Qf6 7. Nf3 c5 8. d4 { White is clearly winning.} Qxf3 {12.57/22} (8... cxd4 $142 {5.00/28} 9. cxd4 g6 ) 9. Qxf3 Kd8 10. dxc5 Ke7 11. c4 h6 12. Be2 Nxb4 13. axb4 Ke8 14. O-O f5 15. exf5 Rg8 16. fxe6 Kd8 17. Qf7 {White mates.} b5 18. exd7 Bxc5 19. bxc5 Bxd7 20. Qxg8+ Be8 21. cxb5 g5 22. c6 Rb8 23. Rxa7 Rb7 24. Rxb7 g4 25. Rb8+ Ke7 26. Qxe8+ Kd6 27. Rd1+ Kc5 28. Ba3# 1-0