MinT - Information on Result #637745

Information on Result #637745

Linear OA(5¹²⁹, 195, F₅, 57) (dual of [195, 66, 58]-code), using concatenation of two codes based on

linear OA(25³², 65, F₂₅, 28) (dual of [65, 33, 29]-code), using
- algebraic-geometric code AG(F,36P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
  - a function field by GarcÃa and Quoos [i]
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 OA(5¹²⁸, 194, F₅, 56) (dual of [194, 66, 57]-code)	[i]		Truncation
2	Linear OOA(5¹²⁹, 97, F₅, 2, 57) (dual of [(97, 2), 65, 58]-NRT-code)	[i]		OOA Folding