MinT - Information on Result #2304156

Information on Result #2304156

Linear OA(5¹²², 142, F₅, 75) (dual of [142, 20, 76]-code), using 2 times truncation based on linear OA(5¹²⁴, 144, F₅, 77) (dual of [144, 20, 78]-code), using

concatenation of two codes [i] based on
1. linear OA(25²⁶, 36, F₂₅, 25) (dual of [36, 10, 26]-code), using
  - extended algebraic-geometric code AG_e(F,10P) [i] based on function field F/F₂₅ with g(F) = 1 and N(F) ≥ 36, using
    - sharp bound on the number of rational points on curves with genus 1 [i]
2. linear OA(5², 4, F₅, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
  - discarding factors / shortening the dual code based on linear OA(5², 5, F₅, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
    - Reedâ€“Solomon code RS(3,5) [i]

Mode: 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(5¹²⁴, 145, F₅, 75) (dual of [145, 21, 76]-code)	[i]		ConstructionÂ X with VarÅ¡amov Bound