MinT - Information on Result #2437883

Information on Result #2437883

Linear OOA(3²⁴⁴, 152, F₃, 2, 118) (dual of [(152, 2), 60, 119]-NRT-code), using strength reduction based on linear OOA(3²⁴⁴, 152, F₃, 2, 119) (dual of [(152, 2), 60, 120]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(81²³, 38, F₈₁, 23) (dual of [38, 15, 24]-code or 38-arc in PG(22,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²³, 81, F₈₁, 23) (dual of [81, 58, 24]-code or 81-arc in PG(22,81)), using
    - Reedâ€“Solomon code RS(58,81) [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(3²⁴⁶, 153, F₃, 2, 118) (dual of [(153, 2), 60, 119]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3²⁴⁵, 152, F₃, 2, 118) (dual of [(152, 2), 59, 119]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3²⁴³, 151, F₃, 2, 117) (dual of [(151, 2), 59, 118]-NRT-code)	[i]	Truncation for OOAs
4	Linear OOA(3²⁴², 151, F₃, 2, 116) (dual of [(151, 2), 60, 117]-NRT-code)	[i]
5	Linear OOA(3²⁴¹, 150, F₃, 2, 115) (dual of [(150, 2), 59, 116]-NRT-code)	[i]
6	Linear OOA(3²⁴⁴, 76, F₃, 4, 118) (dual of [(76, 4), 60, 119]-NRT-code)	[i]	OOA Folding