MinT - Information on Result #2460507

Information on Result #2460507

Linear OOA(2¹⁵⁷, 173, F₂, 2, 40) (dual of [(173, 2), 189, 41]-NRT-code), using 1 step truncation based on linear OOA(2¹⁵⁸, 174, F₂, 2, 41) (dual of [(174, 2), 190, 42]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(32²⁰, 29, F₃₂, 2, 20) (dual of [(29, 2), 38, 21]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(32²⁰, 32, F₃₂, 2, 20) (dual of [(32, 2), 44, 21]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;44,32) [i]
2. linear OA(2¹, 6, F₂, 1) (dual of [6, 5, 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(2¹⁵⁷, 86, F₂, 4, 40) (dual of [(86, 4), 187, 41]-NRT-code)	[i]		OOA Folding