MinT - Information on Result #2232915

Information on Result #2232915

Linear OA(3¹⁴¹, 309, F₃, 40) (dual of [309, 168, 41]-code), using 1 times truncation based on linear OA(3¹⁴², 310, F₃, 41) (dual of [310, 168, 42]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁰, 62, F₈₁, 20) (dual of [62, 42, 21]-code or 62-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 OA(3¹, 5, F₃, 1) (dual of [5, 4, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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		This result only	Method
1	Linear OOA(3¹⁴¹, 154, F₃, 2, 40) (dual of [(154, 2), 167, 41]-NRT-code)	[i]		OOA Folding