MinT - Information on Result #2438188

Information on Result #2438188

Linear OOA(3²⁴⁸, 152, F₃, 2, 123) (dual of [(152, 2), 56, 124]-NRT-code), using strength reduction based on linear OOA(3²⁴⁸, 152, F₃, 2, 124) (dual of [(152, 2), 56, 125]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(81²⁴, 38, F₈₁, 24) (dual of [38, 14, 25]-code or 38-arc in PG(23,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁴, 81, F₈₁, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
    - Reedâ€“Solomon code RS(57,81) [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(3²⁵⁰, 153, F₃, 2, 123) (dual of [(153, 2), 56, 124]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3²⁴⁹, 152, F₃, 2, 123) (dual of [(152, 2), 55, 124]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3²⁴⁷, 151, F₃, 2, 122) (dual of [(151, 2), 55, 123]-NRT-code)	[i]	Truncation for OOAs
4	Linear OOA(3²⁴⁶, 151, F₃, 2, 121) (dual of [(151, 2), 56, 122]-NRT-code)	[i]
5	Linear OOA(3²⁴⁵, 150, F₃, 2, 120) (dual of [(150, 2), 55, 121]-NRT-code)	[i]
6	Linear OOA(3²⁴⁸, 76, F₃, 4, 123) (dual of [(76, 4), 56, 124]-NRT-code)	[i]	OOA Folding