MinT - Information on Result #2247033

Information on Result #2247033

Linear OA(5¹³⁰, 164, F₅, 68) (dual of [164, 34, 69]-code), using 1 times truncation based on linear OA(5¹³¹, 165, F₅, 69) (dual of [165, 34, 70]-code), using

concatenation of two codes [i] based on
1. linear OA(25³⁸, 55, F₂₅, 34) (dual of [55, 17, 35]-code), using
  - discarding factors / shortening the dual code based on linear OA(25³⁸, 65, F₂₅, 34) (dual of [65, 27, 35]-code), using
    - algebraic-geometric code AG(F,30P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
      - a function field by GarcÃa and Quoos [i]
2. linear OA(5¹, 3, F₅, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(5¹, s, F₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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(5¹³⁰, 82, F₅, 2, 68) (dual of [(82, 2), 34, 69]-NRT-code)	[i]		OOA Folding
2	Linear OOA(5¹³⁰, 54, F₅, 3, 68) (dual of [(54, 3), 32, 69]-NRT-code)	[i]		OOA Folding