MinT - Information on Result #1087893

Information on Result #1087893

Linear OOA(2²³³, 82, F₂, 4, 87) (dual of [(82, 4), 95, 88]-NRT-code), using concatenation of two NRT-codes based on

linear OA(32²², 41, F₃₂, 21) (dual of [41, 19, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(32²², 43, F₃₂, 21) (dual of [43, 21, 22]-code), using
  - algebraic-geometric code AG(F,21P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, using
    - a function field by SÃ©mirat [i]
linear OOA(2³, 2, F₂, 4, 3) (dual of [(2, 4), 5, 4]-NRT-code), using
- Reedâ€“Solomon NRT-code RS(4;5,2) [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(2²³³, 41, F₂, 7, 87) (dual of [(41, 7), 54, 88]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²³³, 41, F₂, 8, 87) (dual of [(41, 8), 95, 88]-NRT-code)	[i]		OOA Folding