MinT - Information on Result #1397709

Information on Result #1397709

Linear OOA(64⁵¹, 257, F₆₄, 2, 39) (dual of [(257, 2), 463, 40]-NRT-code), using extended algebraic-geometric NRT-code AG_e(2;F,474P) based on function field F/F₆₄ with g(F) = 12 and N(F) ≥ 257, using

K_1,2 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		This result only	Method
1	Linear OOA(64⁵¹, 257, F₆₄, 2, 38) (dual of [(257, 2), 463, 39]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(64⁵³, 258, F₆₄, 2, 39) (dual of [(258, 2), 463, 40]-NRT-code)	[i]		NRT-Code Embedding in Larger Space