MinT - Information on Result #1312187

Information on Result #1312187

Linear OA(8⁵¹, 311, F₈, 20) (dual of [311, 260, 21]-code), using 50 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 4 times 0, 1, 16 times 0, 1, 27 times 0) based on linear OA(8⁴⁸, 258, F₈, 20) (dual of [258, 210, 21]-code), using

trace code [i] based on linear OA(64²⁴, 129, F₆₄, 20) (dual of [129, 105, 21]-code), using
- extended algebraic-geometric code AG_e(F,108P) [i] based on function field F/F₆₄ with g(F) = 4 and N(F) ≥ 129, using
  - K_1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₆₄ [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(8⁵¹, 311, F₈, 2, 20) (dual of [(311, 2), 571, 21]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(8⁵¹, 311, F₈, 3, 20) (dual of [(311, 3), 882, 21]-NRT-code)	[i]
3	Digital (31, 51, 311)-net over F₈	[i]