MinT - Information on Result #1439203

Information on Result #1439203

Linear OOA(5¹²⁵, 72240, F₅, 2, 21) (dual of [(72240, 2), 144355, 22]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(5¹²⁵, 72240, F₅, 21) (dual of [72240, 72115, 22]-code), using

discarding factors / shortening the dual code based on linear OA(5¹²⁵, 78141, F₅, 21) (dual of [78141, 78016, 22]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(5¹², 15, F₅, 10) (dual of [15, 3, 11]-code), using
    - 1 times truncation [i] based on linear OA(5¹³, 16, F₅, 11) (dual of [16, 3, 12]-code), using
      - a projective code based on a Barlotti arc [i]
  2. linear OA(5¹¹³, 78126, F₅, 21) (dual of [78126, 78013, 22]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 78126Â | 5¹⁴âˆ’1, defining interval IÂ =Â [0,10], and minimum distance dÂ â‰¥ |{−10,−9,…,10}|+1Â =Â 22 (BCH-bound) [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 OOA(5¹²⁵, 36120, F₅, 3, 21) (dual of [(36120, 3), 108235, 22]-NRT-code)	[i]		OOA Folding