MinT - Information on Result #1288436

Information on Result #1288436

Linear OA(16²⁸, 578, F₁₆, 13) (dual of [578, 550, 14]-code), using trace code based on linear OA(256¹⁴, 289, F₂₅₆, 13) (dual of [289, 275, 14]-code), using

extended algebraic-geometric code AG_e(F,275P) [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, 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 OA(16²⁹, 579, F₁₆, 13) (dual of [579, 550, 14]-code)	[i]		Code Embedding in Larger Space