MinT - Information on Result #2248411

Information on Result #2248411

Linear OA(7¹⁰⁹, 127, F₇, 70) (dual of [127, 18, 71]-code), using 1 times truncation based on linear OA(7¹¹⁰, 128, F₇, 71) (dual of [128, 18, 72]-code), using

concatenation of two codes [i] based on
1. linear OA(49²³, 32, F₄₉, 23) (dual of [32, 9, 24]-code or 32-arc in PG(22,49)), using
  - discarding factors / shortening the dual code based on linear OA(49²³, 49, F₄₉, 23) (dual of [49, 26, 24]-code or 49-arc in PG(22,49)), using
    - Reedâ€“Solomon code RS(26,49) [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(7¹⁰⁹, 63, F₇, 2, 70) (dual of [(63, 2), 17, 71]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7¹⁰⁹, 42, F₇, 3, 70) (dual of [(42, 3), 17, 71]-NRT-code)	[i]		OOA Folding