MinT - Information on Result #912026

Information on Result #912026

Linear OOA(2²⁰⁸, 112, F₂, 2, 109) (dual of [(112, 2), 16, 110]-NRT-code), using concatenation of two NRT-codes based on

linear OA(16¹⁰, 14, F₁₆, 10) (dual of [14, 4, 11]-code or 14-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]
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		This result only	Method
1	Linear OOA(2²⁰⁸, 112, F₂, 2, 108) (dual of [(112, 2), 16, 109]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁰⁸, 112, F₂, 2, 107) (dual of [(112, 2), 16, 108]-NRT-code)	[i]
3	Linear OOA(2²⁰⁸, 112, F₂, 2, 106) (dual of [(112, 2), 16, 107]-NRT-code)	[i]
4	Linear OOA(2²⁰⁹, 112, F₂, 2, 109) (dual of [(112, 2), 15, 110]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(2²⁰⁷, 111, F₂, 2, 108) (dual of [(111, 2), 15, 109]-NRT-code)	[i]		Truncation for OOAs
6	Linear OOA(2²⁰⁶, 111, F₂, 2, 107) (dual of [(111, 2), 16, 108]-NRT-code)	[i]
7	Linear OOA(2²⁰⁵, 110, F₂, 2, 106) (dual of [(110, 2), 15, 107]-NRT-code)	[i]
8	Linear OOA(2²⁰³, 109, F₂, 2, 104) (dual of [(109, 2), 15, 105]-NRT-code)	[i]
9	Linear OOA(2²⁰², 109, F₂, 2, 103) (dual of [(109, 2), 16, 104]-NRT-code)	[i]
10	Linear OOA(2²⁰¹, 108, F₂, 2, 102) (dual of [(108, 2), 15, 103]-NRT-code)	[i]
11	Linear OOA(2²⁰⁸, 56, F₂, 4, 109) (dual of [(56, 4), 16, 110]-NRT-code)	[i]		OOA Folding