MinT - Information on Result #2248379

Information on Result #2248379

Linear OA(7⁸⁷, 113, F₇, 50) (dual of [113, 26, 51]-code), using 1 times truncation based on linear OA(7⁸⁸, 114, F₇, 51) (dual of [114, 26, 52]-code), using

concatenation of two codes [i] based on
1. linear OA(49²⁵, 38, F₄₉, 25) (dual of [38, 13, 26]-code or 38-arc in PG(24,49)), using
  - discarding factors / shortening the dual code based on linear OA(49²⁵, 49, F₄₉, 25) (dual of [49, 24, 26]-code or 49-arc in PG(24,49)), using
    - Reedâ€“Solomon code RS(24,49) [i]
2. linear OA(7¹, 3, F₇, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(7¹, s, F₇, 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(7⁸⁷, 56, F₇, 2, 50) (dual of [(56, 2), 25, 51]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁸⁷, 37, F₇, 3, 50) (dual of [(37, 3), 24, 51]-NRT-code)	[i]		OOA Folding