MinT - Information on Result #2457016

Information on Result #2457016

Linear OOA(2⁷⁷, 74, F₂, 2, 24) (dual of [(74, 2), 71, 25]-NRT-code), using 1 step truncation based on linear OOA(2⁷⁸, 75, F₂, 2, 25) (dual of [(75, 2), 72, 26]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16¹², 15, F₁₆, 2, 12) (dual of [(15, 2), 18, 13]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16¹², 16, F₁₆, 2, 12) (dual of [(16, 2), 20, 13]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;20,16) [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(2⁷⁷, 37, F₂, 4, 24) (dual of [(37, 4), 71, 25]-NRT-code)	[i]		OOA Folding