MinT - Information on Result #2457015

Information on Result #2457015

Linear OOA(2⁷⁹, 69, F₂, 2, 26) (dual of [(69, 2), 59, 27]-NRT-code), using 1 step truncation based on linear OOA(2⁸⁰, 70, F₂, 2, 27) (dual of [(70, 2), 60, 28]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16¹³, 14, F₁₆, 2, 13) (dual of [(14, 2), 15, 14]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16¹³, 16, F₁₆, 2, 13) (dual of [(16, 2), 19, 14]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;19,16) [i]
2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 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(2⁷⁹, 34, F₂, 4, 26) (dual of [(34, 4), 57, 27]-NRT-code)	[i]		OOA Folding