MinT - Information on Result #1438345

Information on Result #1438345

Linear OOA(5¹⁰⁶, 264032, F₅, 2, 16) (dual of [(264032, 2), 527958, 17]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(5¹⁰⁶, 264032, F₅, 16) (dual of [264032, 263926, 17]-code), using

discarding factors / shortening the dual code based on linear OA(5¹⁰⁶, 390636, F₅, 16) (dual of [390636, 390530, 17]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(5⁹, 11, F₅, 8) (dual of [11, 2, 9]-code), using
    - 1 times truncation [i] based on linear OA(5¹⁰, 12, F₅, 9) (dual of [12, 2, 10]-code), using
      - repeating each code word 2 times [i] based on linear OA(5⁴, 6, F₅, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
        extended Reedâ€“Solomon code RS_e(2,5) [i]
        Simplex code S(2,5) [i]
  2. linear OA(5⁹⁷, 390625, F₅, 16) (dual of [390625, 390528, 17]-code), using
    - an extension C_e(15) of the primitive narrow-sense BCH-code C(I) with length 390624Â = 5⁸âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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(5¹⁰⁶, 132016, F₅, 3, 16) (dual of [(132016, 3), 395942, 17]-NRT-code)	[i]		OOA Folding