MinT - Information on Result #2432158

Information on Result #2432158

Linear OOA(3¹³⁴, 100, F₃, 2, 56) (dual of [(100, 2), 66, 57]-NRT-code), using strength reduction based on linear OOA(3¹³⁴, 100, F₃, 2, 57) (dual of [(100, 2), 66, 58]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(27²⁸, 25, F₂₇, 2, 28) (dual of [(25, 2), 22, 29]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(27²⁸, 27, F₂₇, 2, 28) (dual of [(27, 2), 26, 29]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;26,27) [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(3¹³⁴, 50, F₃, 4, 56) (dual of [(50, 4), 66, 57]-NRT-code)	[i]		OOA Folding