MinT - Information on Result #1440118

Information on Result #1440118

Linear OOA(5¹⁴², 304951, F₅, 2, 21) (dual of [(304951, 2), 609760, 22]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(5¹⁴², 304951, F₅, 21) (dual of [304951, 304809, 22]-code), using

discarding factors / shortening the dual code based on linear OA(5¹⁴², 390643, F₅, 21) (dual of [390643, 390501, 22]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(5¹³, 17, F₅, 10) (dual of [17, 4, 11]-code), using
    - 9 times truncation [i] based on linear OA(5²², 26, F₅, 19) (dual of [26, 4, 20]-code), using
      - projective code from ovoid in PG(3,Â 5) [i]
  2. linear OA(5¹²⁹, 390626, F₅, 21) (dual of [390626, 390497, 22]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 390626Â | 5¹⁶âˆ’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(5¹⁴², 152475, F₅, 3, 21) (dual of [(152475, 3), 457283, 22]-NRT-code)	[i]		OOA Folding