MinT - Information on Result #2870687

Information on Result #2870687

Linear OOA(2²⁰⁷, 76, F₂, 5, 73) (dual of [(76, 5), 173, 74]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2²⁰², 75, F₂, 5, 73) (dual of [(75, 5), 173, 74]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁷⁵, 33, F₂, 5, 36) (dual of [(33, 5), 90, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,128P) [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(2¹²⁷, 42, F₂, 5, 73) (dual of [(42, 5), 83, 74]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,136P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
    - an explicitly constructive algebraic function field [i]

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(2²⁰⁸, 76, F₂, 5, 73) (dual of [(76, 5), 172, 74]-NRT-code)	[i]		OOA Duplication