MinT - Information on Result #738415

Information on Result #738415

Linear OA(9¹²³, 127, F₉, 108) (dual of [127, 4, 109]-code), using juxtaposition based on

linear OA(9⁴¹, 45, F₉, 36) (dual of [45, 4, 37]-code), using
- a quasi-cyclic code by Bierbrauer and Gulliver [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 OA(9¹²³, 127, F₉, 107) (dual of [127, 4, 108]-code)	[i]		Strength Reduction
2	Linear OA(9¹²³, 127, F₉, 106) (dual of [127, 4, 107]-code)	[i]		Strength Reduction
3	Linear OA(9¹²¹, 125, F₉, 106) (dual of [125, 4, 107]-code)	[i]		Truncation
4	Linear OA(9¹²⁰, 124, F₉, 105) (dual of [124, 4, 106]-code)	[i]
5	Linear OA(9¹¹⁹, 123, F₉, 104) (dual of [123, 4, 105]-code)	[i]
6	Linear OOA(9¹²³, 42, F₉, 3, 108) (dual of [(42, 3), 3, 109]-NRT-code)	[i]		OOA Folding