Corporal Linneman was a member of Company M, 3rd Battalion, 31st Infantry Regiment, 7th Infantry Division. He was listed as Missing in Action while fighting the enemy in North Korea on December 12, 1950. He was presumed dead on December 31, 1953. His remains were not recovered. His name is inscribed on the Courts of the Missing at the Honolulu Memorial. Corporal Linneman was awarded the Purple Heart, the Combat Infantryman’s Badge, the Korean Service Medal, the United Nations Service Medal, the National Defense Service Medal, the Korean Presidential Unit Citation and the Republic of Korea War Service Medal.