MinT - Information on Result #2247056

Information on Result #2247056

Linear OA(5¹²⁵, 167, F₅, 62) (dual of [167, 42, 63]-code), using 1 times truncation based on linear OA(5¹²⁶, 168, F₅, 63) (dual of [168, 42, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(25³⁵, 56, F₂₅, 31) (dual of [56, 21, 32]-code), using
  - discarding factors / shortening the dual code based on linear OA(25³⁵, 65, F₂₅, 31) (dual of [65, 30, 32]-code), using
    - algebraic-geometric code AG(F,33P) [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(5¹²⁵, 83, F₅, 2, 62) (dual of [(83, 2), 41, 63]-NRT-code)	[i]		OOA Folding
2	Linear OOA(5¹²⁵, 55, F₅, 3, 62) (dual of [(55, 3), 40, 63]-NRT-code)	[i]		OOA Folding