“Now may the God of peace who brought again from the dead our Lord Jesus, the great shepherd of the sheep, by virtue of the blood of the eternal covenant, equip you with everything good that you may do his will, working in us that which is pleasing in his sight, through Jesus Christ, to whom be glory forever and ever. Amen” (Hebrews 13:20–21).
“Now what is the relationship between this shedding of Jesus’ blood and the resurrection? The Bible says he was raised not just after the blood-shedding, but by it. This means that what the death of Christ accomplished was so full and so perfect that the resurrection was the reward and vindication of Christ’s achievement in death.”
(John Piper, Fifty Reasons Why Jesus Came to Die [Wheaton: Crossway, 2006] p. 26).
The rest of the above referenced book can be downloaded for free as a PDF. This book makes a great devotional for daily Lenten meditations.
*Note: William Lane, noting the contruction of the phrase and its allusion to Zech 9:11, correctly points out: “The writer understands that Jesus died on the cross as a covenant sacrifice and that he entered into the heavenly sanctuary and there sprinkled his own blood, prior to the resurrection. The resurrection of Jesus occurred by virtue of the sprinkling of the blood in the heavenly sanctuary and the establishment of the new covenant. The phrase ἐν αἵματι διαθήκης αἰωνίου accordingly does not mean ‘with the blood of the eternal covenant’ but rather ‘by virtue of the blood of the eternal covenant’” (William L. Lane, Hebrews 9–13 [WBC 47B; Accordance/Thomas Nelson electronic ed. Dallas: Word Books, 1991], p. 563. emphasis added).