MinT - Information on Result #2431178

Information on Result #2431178

Linear OOA(3¹⁰⁴, 88, F₃, 2, 40) (dual of [(88, 2), 72, 41]-NRT-code), using strength reduction based on linear OOA(3¹⁰⁴, 88, F₃, 2, 41) (dual of [(88, 2), 72, 42]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(27²⁰, 22, F₂₇, 2, 20) (dual of [(22, 2), 24, 21]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(27²⁰, 27, F₂₇, 2, 20) (dual of [(27, 2), 34, 21]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;34,27) [i]
2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 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(3¹⁰⁴, 44, F₃, 4, 40) (dual of [(44, 4), 72, 41]-NRT-code)	[i]		OOA Folding