Air carrier First Officer reported ongoing construction; runway closures; incomplete ATC communications; and outdated Jeppesen charts with incorrect information makes runway operations at BOI airport confusing.

Narrative

Construction resulting in the closure of Runway 10L/28R at BOI has commenced; but there is inadequate and outdated information regarding this construction. Last year I filed a report for this same situation; but there does not appear to be any updated information for the current construction. With the runway closure; the airport is reduced to a single-runway operation with no ILS when landing west; and an unusual taxi route to Runway 28L for departure is required - including an intersection departure. Despite this; there is no Operations Alert published for BOI; and the ATC information and phraseology does not seem to be correct for the intersection operation. Departing from Runway 28L from the terminal requires a back-taxi on Runway 28R to Taxiway M; which appears to be an intersection departure. Aircraft departing from the south side of the airport can depart full-length from Taxiway B1. However; ATC communications do not include the Intersection M" or "full length' phraseology with instructions given to departing aircraft. Additionally; there are three pages in the Jeppesen charts for the airport; but they are outdated and indicate that construction ended last year. It's unclear why updated pages have not been issued for this year. These pages do not provide any useful information regarding taxi routes or intersection departures. Lastly; the ATIS continues to contain a longstanding remark regarding "lining up on the correct runway." This remark has not been updated for single-runway operations and adds to the confusion."