MinT - Information on Result #2466181

Information on Result #2466181

Linear OOA(3¹³⁸, 103, F₃, 2, 58) (dual of [(103, 2), 68, 59]-NRT-code), using 1 step truncation based on linear OOA(3¹³⁹, 104, F₃, 2, 59) (dual of [(104, 2), 69, 60]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(27²⁹, 26, F₂₇, 2, 29) (dual of [(26, 2), 23, 30]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(27²⁹, 27, F₂₇, 2, 29) (dual of [(27, 2), 25, 30]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;25,27) [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(3¹³⁸, 51, F₃, 4, 58) (dual of [(51, 4), 66, 59]-NRT-code)	[i]		OOA Folding