MinT - Information on Result #2234765

Information on Result #2234765

Linear OA(3²³⁵, 339, F₃, 84) (dual of [339, 104, 85]-code), using 1 times truncation based on linear OA(3²³⁶, 340, F₃, 85) (dual of [340, 104, 86]-code), using

concatenation of two codes [i] based on
1. linear OA(81⁴², 68, F₈₁, 42) (dual of [68, 26, 43]-code or 68-arc in PG(41,81)), using
  - discarding factors / shortening the dual code based on linear OA(81⁴², 81, F₈₁, 42) (dual of [81, 39, 43]-code or 81-arc in PG(41,81)), using
    - Reedâ€“Solomon code RS(39,81) [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(3²³⁵, 169, F₃, 2, 84) (dual of [(169, 2), 103, 85]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²³⁵, 113, F₃, 3, 84) (dual of [(113, 3), 104, 85]-NRT-code)	[i]		OOA Folding