MinT - Information on Result #641824

Information on Result #641824

Linear OA(9¹⁰⁴, 108, F₉, 91) (dual of [108, 4, 92]-code), using juxtaposition based on

linear OA(9²², 26, F₉, 19) (dual of [26, 4, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9²², 27, F₉, 19) (dual of [27, 5, 20]-code), using
  - algebraic-geometric code AG(F,7P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
    - the Hermitian function field over F₉ [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(9¹⁰⁴, 54, F₉, 2, 91) (dual of [(54, 2), 4, 92]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹⁰⁴, 36, F₉, 3, 91) (dual of [(36, 3), 4, 92]-NRT-code)	[i]		OOA Folding