MinT - Information on Result #1312166

Information on Result #1312166

Linear OA(8⁴⁸, 287, F₈, 19) (dual of [287, 239, 20]-code), using 27 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 6 times 0, 1, 19 times 0) based on linear OA(8⁴⁶, 258, F₈, 19) (dual of [258, 212, 20]-code), using

trace code [i] based on linear OA(64²³, 129, F₆₄, 19) (dual of [129, 106, 20]-code), using
- extended algebraic-geometric code AG_e(F,109P) [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(8⁴⁸, 287, F₈, 2, 19) (dual of [(287, 2), 526, 20]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(8⁴⁸, 287, F₈, 3, 19) (dual of [(287, 3), 813, 20]-NRT-code)	[i]
3	Digital (29, 48, 287)-net over F₈	[i]