MinT - Information on Result #910728

Information on Result #910728

Linear OOA(2⁵⁴, 30, F₂, 2, 32) (dual of [(30, 2), 6, 33]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4¹², 15, F₄, 10) (dual of [15, 3, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4¹², 16, F₄, 10) (dual of [16, 4, 11]-code), using
  - 1 times truncation [i] based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
    - projective code from ovoid in PG(3,Â 4) [i]
linear OOA(2², 2, F₂, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
- Reedâ€“Solomon NRT-code RS(2;2,2) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2⁵⁴, 15, F₂, 4, 32) (dual of [(15, 4), 6, 33]-NRT-code)	[i]		OOA Folding