MinT - Information on Result #1466600

Information on Result #1466600

Linear OOA(7⁷⁴, 39, F₇, 2, 65) (dual of [(39, 2), 4, 66]-NRT-code), using repeating each code word 3 times based on linear OOA(7²², 13, F₇, 2, 21) (dual of [(13, 2), 4, 22]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₇ with g(F) = 1 and N(F) ≥ 13, using
- sharp bound on the number of rational points on curves with genus 1 [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(7⁷⁴, 39, F₇, 2, 64) (dual of [(39, 2), 4, 65]-NRT-code)	[i]		Strength Reduction for OOAs