MinT - Information on Result #2423975

Information on Result #2423975

Linear OOA(2¹⁹⁶, 104, F₂, 2, 107) (dual of [(104, 2), 12, 108]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁶, 104, F₂, 2, 109) (dual of [(104, 2), 12, 110]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹⁰, 13, F₁₆, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,16)), using
  - discarding factors / shortening the dual code based on linear OA(16¹⁰, 16, F₁₆, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
    - Reedâ€“Solomon code RS(6,16) [i]
2. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
  - an explicit generator matrix by Edel [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(2¹⁹⁷, 104, F₂, 2, 107) (dual of [(104, 2), 11, 108]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2¹⁹⁵, 103, F₂, 2, 106) (dual of [(103, 2), 11, 107]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2¹⁹⁴, 103, F₂, 2, 105) (dual of [(103, 2), 12, 106]-NRT-code)	[i]
4	Linear OOA(2¹⁹³, 102, F₂, 2, 104) (dual of [(102, 2), 11, 105]-NRT-code)	[i]
5	Linear OOA(2¹⁹¹, 101, F₂, 2, 102) (dual of [(101, 2), 11, 103]-NRT-code)	[i]
6	Linear OOA(2¹⁹⁰, 101, F₂, 2, 101) (dual of [(101, 2), 12, 102]-NRT-code)	[i]
7	Linear OOA(2¹⁸⁹, 100, F₂, 2, 100) (dual of [(100, 2), 11, 101]-NRT-code)	[i]
8	Linear OOA(2¹⁸⁷, 99, F₂, 2, 98) (dual of [(99, 2), 11, 99]-NRT-code)	[i]
9	Linear OOA(2¹⁹⁶, 52, F₂, 4, 107) (dual of [(52, 4), 12, 108]-NRT-code)	[i]	OOA Folding