MinT - Information on Result #1312269

Information on Result #1312269

Linear OA(8⁶¹, 289, F₈, 25) (dual of [289, 228, 26]-code), using 88 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (2, 0, 0, 0, 1, 8 times 0, 1, 14 times 0, 1, 17 times 0, 1, 19 times 0, 1, 21 times 0) based on linear OA(8⁵⁴, 194, F₈, 25) (dual of [194, 140, 26]-code), using

trace code [i] based on linear OA(64²⁷, 97, F₆₄, 25) (dual of [97, 70, 26]-code), using
- extended algebraic-geometric code AG_e(F,71P) [i] based on function field F/F₆₄ with g(F) = 2 and N(F) ≥ 97, using
  - sharp bound on the number of rational points on curves with genus 2 [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(8⁶¹, 289, F₈, 2, 25) (dual of [(289, 2), 517, 26]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(8⁶¹, 289, F₈, 3, 25) (dual of [(289, 3), 806, 26]-NRT-code)	[i]
3	Digital (36, 61, 289)-net over F₈	[i]