MinT - Information on Result #2234517

Information on Result #2234517

Linear OA(3²⁴⁸, 296, F₃, 108) (dual of [296, 48, 109]-code), using 1 times truncation based on linear OA(3²⁴⁹, 297, F₃, 109) (dual of [297, 48, 110]-code), using

concatenation of two codes [i] based on
1. linear OA(81²¹, 33, F₈₁, 21) (dual of [33, 12, 22]-code or 33-arc in PG(20,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²¹, 81, F₈₁, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
    - Reedâ€“Solomon code RS(60,81) [i]
2. linear OA(3⁵, 9, F₃, 4) (dual of [9, 4, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
    - Golay code G(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 OA(3²⁵⁰, 298, F₃, 108) (dual of [298, 48, 109]-code)	[i]	Code Embedding in Larger Space
2	Linear OOA(3²⁴⁸, 148, F₃, 2, 108) (dual of [(148, 2), 48, 109]-NRT-code)	[i]	OOA Folding
3	Linear OOA(3²⁴⁸, 98, F₃, 3, 108) (dual of [(98, 3), 46, 109]-NRT-code)	[i]	OOA Folding