MinT - Information on Result #1650032

Information on Result #1650032

Linear OOA(3²²², 2796209, F₃, 5, 21) (dual of [(2796209, 5), 13980823, 22]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3²²², 2796209, F₃, 3, 21) (dual of [(2796209, 3), 8388405, 22]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3¹², 8, F₃, 3, 10) (dual of [(8, 3), 12, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3²¹⁰, 2796201, F₃, 3, 21) (dual of [(2796201, 3), 8388393, 22]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(3²¹⁰, large, F₃, 21) (dual of [large, large−210, 22]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]

Mode: Linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m 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(3²²², 1398104, F₃, 25, 21) (dual of [(1398104, 25), 34952378, 22]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row