MinT - Information on Result #1312208

Information on Result #1312208

Linear OA(8⁵⁴, 336, F₈, 21) (dual of [336, 282, 22]-code), using 74 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 0, 0, 1, 14 times 0, 1, 24 times 0, 1, 30 times 0) based on linear OA(8⁵⁰, 258, F₈, 21) (dual of [258, 208, 22]-code), using

trace code [i] based on linear OA(64²⁵, 129, F₆₄, 21) (dual of [129, 104, 22]-code), using
- extended algebraic-geometric code AG_e(F,107P) [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(8⁵⁴, 336, F₈, 2, 21) (dual of [(336, 2), 618, 22]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(8⁵⁴, 336, F₈, 3, 21) (dual of [(336, 3), 954, 22]-NRT-code)	[i]
3	Digital (33, 54, 336)-net over F₈	[i]