This redistricting is one of the most important since it resulted in
Karcher v Daggett (1983). The opinion lays out a good bit of the history of that map. The 1982 map was part of the record, so if you have access to the full printed volume of cases from that period, it should be there. As an interesting side note in the case, footnote 4 references the "Affidavit of Samuel A. Alito, Executive Director of the Office of Legislative Services of the New Jersey Legislature". He was 31 at the beginning of 1982 when the map was approved.