MinT - Information on Result #1288482

Information on Result #1288482

Linear OA(16⁷⁴, 578, F₁₆, 36) (dual of [578, 504, 37]-code), using trace code based on linear OA(256³⁷, 289, F₂₅₆, 36) (dual of [289, 252, 37]-code), using

extended algebraic-geometric code AG_e(F,252P) [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		Method
1	Linear OA(16⁷⁵, 579, F₁₆, 36) (dual of [579, 504, 37]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(16⁸³, 686, F₁₆, 36) (dual of [686, 603, 37]-code)	[i]	VarÅ¡amovâ€“Edel Lengthening
3	Linear OA(16⁸⁴, 738, F₁₆, 36) (dual of [738, 654, 37]-code)	[i]
4	Linear OA(16⁸⁵, 797, F₁₆, 36) (dual of [797, 712, 37]-code)	[i]