MinT - Information on Result #2928207

Information on Result #2928207

Linear OOA(2²³², 67, F₂, 6, 99) (dual of [(67, 6), 170, 100]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2²²⁶, 66, F₂, 6, 99) (dual of [(66, 6), 170, 100]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁸⁸, 33, F₂, 6, 49) (dual of [(33, 6), 110, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,148P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹³⁸, 33, F₂, 6, 99) (dual of [(33, 6), 60, 100]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,98P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)

Mode: Constructive and 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(2²³³, 67, F₂, 6, 99) (dual of [(67, 6), 169, 100]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²³⁴, 67, F₂, 6, 99) (dual of [(67, 6), 168, 100]-NRT-code)	[i]		OOA Duplication