Question: What military award did the solider who the USS Basilone was named after recieve posthumously?

full_context: Document 1: USS Loy (DE-160): USS "Loy" (DE-160/APD-56), a "Buckley"-class destroyer escort of the United States Navy, was named in honor of Gunner's Mate Third Class Jackson Keith Loy (1922-1942), who was killed in action aboard the "San Francisco" (CA-38) off Lunga Point, Guadalcanal on 12 November 1942. For his actions, Gunner's Mate Loy was awarded the Navy Cross.
Document 2: USS Rich (DD-820): USS "Rich" (DD-820/DDE-820) was a "Gearing"-class destroyer in the United States Navy during the Korean War and the Vietnam War. She was the second ship named in honor of Lieutenant (j.g.) Ralph McMaster Rich (1916–1942), who was awarded the Navy Cross for his leadership as a fighter pilot off the USS "Enterprise" (CV-6) during the Battle of Midway.
Document 3: John Basilone Veterans Memorial Bridge: The John Basilone Veterans Memorial Bridge is a bridge in New Jersey that crosses the Raritan River. The bridge was built in 2005 to replace the smaller Nevius Street Bridge built in 1886. The Nevius Street Bridge today functions as a pedestrian bridge. The bridge connects First Avenue and what used to be the short one way block of Lyman Street in Raritan with River Road in Hillsborough. After crossing into Hillsborough, the road curves to meet up with the old alignment with the Nevius Street Bridge. The bridge is named for local World War II hero, John Basilone. The bridge has a pedestrian tunnel underneath its northern approach, as part of the Raritan River Greenway.
Document 4: USS Henry W. Tucker: The second USS "Henry W. Tucker" (DD-875) was a "Gearing"-class destroyer of the United States Navy. She was named for Pharmacist’s Mate Third Class Henry W. Tucker (1919–1942) who was killed in action during the Battle of the Coral Sea on 7 May 1942 and posthumously awarded the Navy Cross.
Document 5: Henry Gurke: Private First Class Henry Gurke (November 6, 1922 – November 9, 1943) was a United States Marine who was killed in action in 1943 in the Bougainville Campaign of World War II. For his heroic actions, he was posthumously received the Medal of Honor — the highest military honor bestowed by the United States.
Document 6: USS Keppler (DD-765): The third USS "Keppler" (DD/DDE-765) was a "Gearing"-class destroyer in the United States Navy during the Korean War and the Vietnam War. She was named for Boatswain's Mate First Class Reinhardt J. Keppler (1918–1942), who was posthumously awarded the Medal of Honor for "extraordinary heroism" during the Naval Battle of Guadalcanal.
Document 7: Richard K. Sorenson: Richard Keith Sorenson (August 28, 1924 – October 9, 2004) was a United States Marine who, as a private, received the Medal of Honor during World War II for his heroism during the Marine landing on Kwajalein Atoll on the night of February 1,-February 2, 1944. He threw himself on an exploding Japanese grenade, that was part of US munitions captured during the Battle of Bataan, to save the lives of five fellow Marines. Amazingly, although fragments of the grenade ripped through his thighs, hips, right arm and right leg, he lived through the action. Of the 27 Marines who similarly threw themselves on grenades to save the lives of their fellow Marines during World War II, Sorenson was one of only four who survived. Fellow Medal of Honor recipients Richard E. Bush, Jacklyn H. Lucas and Carlton R. Rouh were the other three survivors.
Document 8: USS Richard E. Kraus (DD-849): USS "Richard E. Kraus" (DD-849/AG-151) was a "Gearing"-class destroyer of the United States Navy, named for Marine Private First Class Richard E. Kraus (1925–1944), who was awarded the Medal of Honor posthumously for his "conspicuous gallantry" during the Battle of Peleliu.
Document 9: USS O'Hare (DD-889): USS "O'Hare" (DD/DDR-889) was a "Gearing"-class destroyer of the United States Navy, named for Lieutenant Commander Edward "Butch" O'Hare, Medal of Honor recipient, who was shot down at Tarawa on 27 November 1943.
Document 10: John Basilone: John Basilone (November 4, 1916 – February 19, 1945) was a United States Marine Corps gunnery sergeant who was killed in action during World War II. He received the Medal of Honor for heroism above and beyond the call of duty during the Battle for Henderson Field in the Guadalcanal Campaign, and the Navy Cross posthumously for extraordinary heroism during the Battle of Iwo Jima. He was the only enlisted Marine to receive both of these decorations in World War II.
Document 11: USS Basilone: USS "Basilone" (DD/DDE-824) was a "Gearing"-class destroyer of the United States Navy, named for Gunnery Sergeant John Basilone (1916–1945), who was awarded the Medal of Honor for "extraordinary heroism and conspicuous gallantry in action..." in the defense of Henderson Field during the 1942 Guadalcanal campaign.
Document 12: Hershel W. Williams: Hershel Woodrow "Woody" Williams (born October 2, 1923) is a retired United States Marine who received the Medal of Honor for his actions in the Battle of Iwo Jima during World War II. He is the last surviving recipient of the Medal of Honor from that battle and the last surviving United States Marine to receive the Medal of Honor for heroism in World War II.
Document 13: USS John Basilone: USS "John Basilone" (DDG-122) is a planned United States Navy "Arleigh Burke"-class Flight IIA guided missile destroyer, the 72nd overall for the class. The ship will be named for United States Marine Corps Gunnery sergeant John Basilone, who received the nation's highest military award for valor, the Medal of Honor, for heroism during the Guadalcanal Campaign in World War II. Basilone was the only enlisted Marine to receive both the Medal of Honor and the Navy Cross in World War II.
Document 14: Lewis K. Bausell: Corporal Lewis Kenneth Bausell (April 17, 1924 – September 18, 1944) was a United States Marine and posthumous recipient of the United States' highest military honor — the Medal of Honor — for his sacrifice of life, "above and beyond the call of duty", during World War II. During combat at Peleliu, he covered an exploding Japanese hand grenade in order to protect his comrades, and died of his wounds three days later. Bausell was the only enlisted Marine from the Nation's capital, Washington, D.C. to be awarded the Medal of Honor for actions during World War II.
Document 15: USS Hayter (DE-212): USS "Hayter" (DE-212/APD-80), a "Buckley"-class destroyer escort of the United States Navy, was named in honor of Lieutenant Commander Hubert M. Hayter (1901–1942), who was killed in action, while serving aboard the cruiser USS "New Orleans" during the Battle of Tassafaronga on 30 November 1942. Lieutenant Commander Hayter was serving as damage control officer when "New Orleans" received a torpedo hit, and as Central Station, his battle post, filled with asphyxiating gas he ordered all men without masks to leave the compartment giving his own to a partially stricken seaman. After clearing the compartment of all personnel, Lt. Cmdr. Hayter was finally overcome by the fumes. For this extraordinary act of heroism he was posthumously awarded the Navy Cross.
ground_truth: the Navy Cross