MinT - Information on Result #2251467

Information on Result #2251467

Linear OA(8¹⁷⁰, 206, F₈, 102) (dual of [206, 36, 103]-code), using 2 times truncation based on linear OA(8¹⁷², 208, F₈, 104) (dual of [208, 36, 105]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁴, 52, F₆₄, 34) (dual of [52, 18, 35]-code or 52-arc in PG(33,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁴, 64, F₆₄, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), using
    - Reedâ€“Solomon code RS(30,64) [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		Method
1	Linear OA(8¹⁷³, 209, F₈, 102) (dual of [209, 36, 103]-code)	[i]	Code Embedding in Larger Space
2	Linear OOA(8¹⁷⁰, 103, F₈, 2, 102) (dual of [(103, 2), 36, 103]-NRT-code)	[i]	OOA Folding
3	Linear OOA(8¹⁷⁰, 68, F₈, 3, 102) (dual of [(68, 3), 34, 103]-NRT-code)	[i]	OOA Folding