MinT - Information on Result #2425246

Information on Result #2425246

Linear OOA(2²¹², 112, F₂, 2, 117) (dual of [(112, 2), 12, 118]-NRT-code), using strength reduction based on linear OOA(2²¹², 112, F₂, 2, 119) (dual of [(112, 2), 12, 120]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹¹, 14, F₁₆, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,16)), using
  - discarding factors / shortening the dual code based on linear OA(16¹¹, 16, F₁₆, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
    - Reedâ€“Solomon code RS(5,16) [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(2²¹³, 112, F₂, 2, 117) (dual of [(112, 2), 11, 118]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²¹¹, 111, F₂, 2, 116) (dual of [(111, 2), 11, 117]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2²⁰⁹, 110, F₂, 2, 114) (dual of [(110, 2), 11, 115]-NRT-code)	[i]
4	Linear OOA(2²⁰⁸, 110, F₂, 2, 113) (dual of [(110, 2), 12, 114]-NRT-code)	[i]
5	Linear OOA(2²⁰⁷, 109, F₂, 2, 112) (dual of [(109, 2), 11, 113]-NRT-code)	[i]
6	Linear OOA(2²⁰⁶, 109, F₂, 2, 111) (dual of [(109, 2), 12, 112]-NRT-code)	[i]
7	Linear OOA(2²⁰⁵, 108, F₂, 2, 110) (dual of [(108, 2), 11, 111]-NRT-code)	[i]
8	Linear OOA(2²⁰³, 107, F₂, 2, 108) (dual of [(107, 2), 11, 109]-NRT-code)	[i]
9	Linear OOA(2²⁰², 107, F₂, 2, 107) (dual of [(107, 2), 12, 108]-NRT-code)	[i]
10	Linear OOA(2²⁰¹, 106, F₂, 2, 106) (dual of [(106, 2), 11, 107]-NRT-code)	[i]
11	Linear OOA(2¹⁹⁹, 105, F₂, 2, 104) (dual of [(105, 2), 11, 105]-NRT-code)	[i]
12	Linear OOA(2²¹², 56, F₂, 4, 117) (dual of [(56, 4), 12, 118]-NRT-code)	[i]	OOA Folding