MinT - Information on Result #2213982

Information on Result #2213982

Linear OA(8¹⁴², 164, F₈, 91) (dual of [164, 22, 92]-code), using strength reduction based on linear OA(8¹⁴², 164, F₈, 92) (dual of [164, 22, 93]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁰, 41, F₆₄, 30) (dual of [41, 11, 31]-code or 41-arc in PG(29,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁰, 64, F₆₄, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
    - Reedâ€“Solomon code RS(34,64) [i]
2. linear OA(8², 4, F₈, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
  - discarding factors / shortening the dual code based on linear OA(8², 8, F₈, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
    - Reedâ€“Solomon code RS(6,8) [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(8¹⁴², 82, F₈, 2, 91) (dual of [(82, 2), 22, 92]-NRT-code)	[i]		OOA Folding