MinT - Information on Result #1507316

Information on Result #1507316

Linear OOA(64⁶⁹, 257, F₆₄, 3, 57) (dual of [(257, 3), 702, 58]-NRT-code), using extended algebraic-geometric NRT-code AG_e(3;F,713P) 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		Method
1	Linear OOA(64⁶⁹, 257, F₆₄, 3, 56) (dual of [(257, 3), 702, 57]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(64⁶⁹, 257, F₆₄, 3, 55) (dual of [(257, 3), 702, 56]-NRT-code)	[i]	Strength Reduction for OOAs
3	Linear OOA(64⁷², 258, F₆₄, 3, 57) (dual of [(258, 3), 702, 58]-NRT-code)	[i]	NRT-Code Embedding in Larger Space