I used IrTool.exe to decode those signals (you can find details in many other threads where IrTool is discussed).

They are
Protocol: NEC1
Device: 0.189
Functions 1, 6, 5 and 69

You could use MakeHex with either IrPanels or Hex2ccf to create a ccf file with 256 buttons covering all 256 IR signals your device can understand. (If you do it right, the above four functions would be buttons 1, 6, 5 and 69 in that CCF, which is worth testing before testing the rest of the 256).

You could test all 256 buttons to see what, if anything, each makes the TV do. If there are any IR signals that the TV understands that aren't included on the original remote, you should be able to discover them this way. (The 256 also would include all the functions that are on the original remote, plus a lot that do nothing).

More details (and some warnings) are in many other threads that discuss use of MakeHex with Hex2ccf or IrPanels.