MinT - Information on Result #941536

Information on Result #941536

Linear OOA(2²⁰³, 105, F₂, 2, 120) (dual of [(105, 2), 7, 121]-NRT-code), using juxtaposition based on

linear OOA(2¹⁷, 12, F₂, 2, 10) (dual of [(12, 2), 7, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹⁷, 13, F₂, 2, 10) (dual of [(13, 2), 9, 11]-NRT-code), using
  - extracting embedded OOA [i] based on digital (7, 17, 13)-net over F₂, using
    - linear code embedding found in a computer search [i]
linear OOA(2¹⁷⁹, 93, F₂, 2, 109) (dual of [(93, 2), 7, 110]-NRT-code), using
- 2¹ times duplication [i] based on linear OOA(2¹⁷⁸, 93, F₂, 2, 109) (dual of [(93, 2), 8, 110]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4²⁷, 31, F₄, 21) (dual of [31, 4, 22]-code), using
      - an explicit generator matrix [i]
    2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁰³, 105, F₂, 2, 119) (dual of [(105, 2), 7, 120]-NRT-code)	[i]		Strength Reduction for OOAs