MinT - Information on Result #2248391

Information on Result #2248391

Linear OA(7¹⁰⁵, 123, F₇, 67) (dual of [123, 18, 68]-code), using 1 times truncation based on linear OA(7¹⁰⁶, 124, F₇, 68) (dual of [124, 18, 69]-code), using

concatenation of two codes [i] based on
1. linear OA(49²², 31, F₄₉, 22) (dual of [31, 9, 23]-code or 31-arc in PG(21,49)), using
  - discarding factors / shortening the dual code based on linear OA(49²², 49, F₄₉, 22) (dual of [49, 27, 23]-code or 49-arc in PG(21,49)), using
    - Reedâ€“Solomon code RS(27,49) [i]
2. linear OA(7², 4, F₇, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,7)), using
  - discarding factors / shortening the dual code based on linear OA(7², 7, F₇, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
    - Reedâ€“Solomon code RS(5,7) [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(7¹⁰⁵, 61, F₇, 2, 67) (dual of [(61, 2), 17, 68]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7¹⁰⁵, 41, F₇, 3, 67) (dual of [(41, 3), 18, 68]-NRT-code)	[i]		OOA Folding