MinT - Information on Result #641814

Information on Result #641814

Linear OA(9⁹⁶, 100, F₉, 84) (dual of [100, 4, 85]-code), using juxtaposition based on

linear OA(9¹⁴, 18, F₉, 12) (dual of [18, 4, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹⁴, 20, F₉, 12) (dual of [20, 6, 13]-code), using
  - extended algebraic-geometric code AG_e(F,7P) [i] based on function field F/F₉ with g(F) = 2 and N(F) ≥ 20, using
    - a function field by GarcÃa and Quoos [i]
linear OA(9⁷⁸, 82, F₉, 71) (dual of [82, 4, 72]-code), using
- projective code from ovoid in PG(3,Â 9) [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(9⁹⁶, 50, F₉, 2, 84) (dual of [(50, 2), 4, 85]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9⁹⁶, 33, F₉, 3, 84) (dual of [(33, 3), 3, 85]-NRT-code)	[i]		OOA Folding