MinT - Information on Result #2304151

Information on Result #2304151

Linear OA(5¹²⁵, 143, F₅, 79) (dual of [143, 18, 80]-code), using 1 times truncation based on linear OA(5¹²⁶, 144, F₅, 80) (dual of [144, 18, 81]-code), using

concatenation of two codes [i] based on
1. linear OA(25²⁷, 36, F₂₅, 26) (dual of [36, 9, 27]-code), using
  - extended algebraic-geometric code AG_e(F,9P) [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		Method
1	Linear OA(5¹²⁹, 149, F₅, 79) (dual of [149, 20, 80]-code)	[i]	VarÅ¡amovâ€“Edel Lengthening
2	Linear OA(5¹³⁰, 151, F₅, 79) (dual of [151, 21, 80]-code)	[i]
3	Linear OA(5¹³¹, 153, F₅, 79) (dual of [153, 22, 80]-code)	[i]
4	Linear OA(5¹²⁸, 147, F₅, 79) (dual of [147, 19, 80]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound