MinT - Information on Result #1466602

Information on Result #1466602

Linear OOA(7⁷⁵, 39, F₇, 2, 68) (dual of [(39, 2), 3, 69]-NRT-code), using repeating each code word 3 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(7⁷³, 38, F₇, 2, 66) (dual of [(38, 2), 3, 67]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(7⁷¹, 37, F₇, 2, 64) (dual of [(37, 2), 3, 65]-NRT-code)	[i]
3	Linear OOA(7⁶⁷, 35, F₇, 2, 60) (dual of [(35, 2), 3, 61]-NRT-code)	[i]
4	Linear OOA(7⁸¹, 42, F₇, 2, 72) (dual of [(42, 2), 3, 73]-NRT-code)	[i]	Juxtaposition for OOAs
5	Linear OOA(7⁸³, 43, F₇, 2, 74) (dual of [(43, 2), 3, 75]-NRT-code)	[i]
6	Linear OOA(7⁸⁵, 44, F₇, 2, 76) (dual of [(44, 2), 3, 77]-NRT-code)	[i]
7	Linear OOA(7⁸⁷, 45, F₇, 2, 78) (dual of [(45, 2), 3, 79]-NRT-code)	[i]
8	Linear OOA(7⁸⁹, 46, F₇, 2, 80) (dual of [(46, 2), 3, 81]-NRT-code)	[i]
9	Linear OOA(7⁹¹, 47, F₇, 2, 82) (dual of [(47, 2), 3, 83]-NRT-code)	[i]