MinT - Information on Result #2248329

Information on Result #2248329

Linear OA(7⁷⁵, 107, F₇, 40) (dual of [107, 32, 41]-code), using 1 times truncation based on linear OA(7⁷⁶, 108, F₇, 41) (dual of [108, 32, 42]-code), using

concatenation of two codes [i] based on
1. linear OA(49²⁰, 36, F₄₉, 20) (dual of [36, 16, 21]-code or 36-arc in PG(19,49)), using
  - discarding factors / shortening the dual code based on linear OA(49²⁰, 49, F₄₉, 20) (dual of [49, 29, 21]-code or 49-arc in PG(19,49)), using
    - Reedâ€“Solomon code RS(29,49) [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(7⁷⁵, 53, F₇, 2, 40) (dual of [(53, 2), 31, 41]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁷⁵, 35, F₇, 3, 40) (dual of [(35, 3), 30, 41]-NRT-code)	[i]		OOA Folding