MinT - Information on Result #2247034

Information on Result #2247034

Linear OA(5¹²⁸, 164, F₅, 66) (dual of [164, 36, 67]-code), using 1 times truncation based on linear OA(5¹²⁹, 165, F₅, 67) (dual of [165, 36, 68]-code), using

concatenation of two codes [i] based on
1. linear OA(25³⁷, 55, F₂₅, 33) (dual of [55, 18, 34]-code), using
  - discarding factors / shortening the dual code based on linear OA(25³⁷, 65, F₂₅, 33) (dual of [65, 28, 34]-code), using
    - algebraic-geometric code AG(F,31P) [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(5¹²⁸, 82, F₅, 2, 66) (dual of [(82, 2), 36, 67]-NRT-code)	[i]		OOA Folding
2	Linear OOA(5¹²⁸, 54, F₅, 3, 66) (dual of [(54, 3), 34, 67]-NRT-code)	[i]		OOA Folding