MinT - Information on Result #1466603

Information on Result #1466603

Linear OOA(7¹⁰¹, 52, F₇, 2, 91) (dual of [(52, 2), 3, 92]-NRT-code), using repeating each code word 4 times based on linear OOA(7²³, 13, F₇, 2, 22) (dual of [(13, 2), 3, 23]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(2;F,3P) [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		Method
1	Linear OOA(7¹⁰¹, 52, F₇, 2, 90) (dual of [(52, 2), 3, 91]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(7⁹⁹, 51, F₇, 2, 89) (dual of [(51, 2), 3, 90]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(7⁹⁷, 50, F₇, 2, 87) (dual of [(50, 2), 3, 88]-NRT-code)	[i]
4	Linear OOA(7⁹⁵, 49, F₇, 2, 85) (dual of [(49, 2), 3, 86]-NRT-code)	[i]