MinT - Information on Result #2436212

Information on Result #2436212

Linear OOA(3²²⁰, 140, F₃, 2, 103) (dual of [(140, 2), 60, 104]-NRT-code), using strength reduction based on linear OOA(3²²⁰, 140, F₃, 2, 104) (dual of [(140, 2), 60, 105]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(81²⁰, 35, F₈₁, 20) (dual of [35, 15, 21]-code or 35-arc in PG(19,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁰, 81, F₈₁, 20) (dual of [81, 61, 21]-code or 81-arc in PG(19,81)), using
    - Reedâ€“Solomon code RS(61,81) [i]
2. linear OOA(3⁴, 4, F₃, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;4,3) [i]

Mode: Constructive and 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 OOA(3²²¹, 140, F₃, 2, 103) (dual of [(140, 2), 59, 104]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3²¹⁹, 139, F₃, 2, 102) (dual of [(139, 2), 59, 103]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(3²¹⁸, 139, F₃, 2, 101) (dual of [(139, 2), 60, 102]-NRT-code)	[i]
4	Linear OOA(3²¹⁷, 138, F₃, 2, 100) (dual of [(138, 2), 59, 101]-NRT-code)	[i]
5	Linear OOA(3²²⁰, 70, F₃, 4, 103) (dual of [(70, 4), 60, 104]-NRT-code)	[i]	OOA Folding