MinT - Information on Result #913184

Information on Result #913184

Linear OOA(3²⁰⁸, 132, F₃, 2, 99) (dual of [(132, 2), 56, 100]-NRT-code), using concatenation of two NRT-codes based on

linear OA(81¹⁹, 33, F₈₁, 19) (dual of [33, 14, 20]-code or 33-arc in PG(18,81)), using
- discarding factors / shortening the dual code based on linear OA(81¹⁹, 81, F₈₁, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), using
  - Reedâ€“Solomon code RS(62,81) [i]
linear OOA(3⁴, 4, F₃, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;4,3) [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(3²⁰⁸, 132, F₃, 2, 98) (dual of [(132, 2), 56, 99]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁰⁸, 132, F₃, 2, 97) (dual of [(132, 2), 56, 98]-NRT-code)	[i]
3	Linear OOA(3²⁰⁸, 132, F₃, 2, 96) (dual of [(132, 2), 56, 97]-NRT-code)	[i]
4	Linear OOA(3²¹⁰, 133, F₃, 2, 99) (dual of [(133, 2), 56, 100]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(3²⁰⁹, 132, F₃, 2, 99) (dual of [(132, 2), 55, 100]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(3²⁰⁷, 131, F₃, 2, 98) (dual of [(131, 2), 55, 99]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(3²⁰⁶, 131, F₃, 2, 97) (dual of [(131, 2), 56, 98]-NRT-code)	[i]
8	Linear OOA(3²⁰⁵, 130, F₃, 2, 96) (dual of [(130, 2), 55, 97]-NRT-code)	[i]
9	Linear OOA(3²⁰⁴, 130, F₃, 2, 95) (dual of [(130, 2), 56, 96]-NRT-code)	[i]
10	Linear OOA(3²⁰³, 129, F₃, 2, 94) (dual of [(129, 2), 55, 95]-NRT-code)	[i]
11	Linear OOA(3²⁰², 129, F₃, 2, 93) (dual of [(129, 2), 56, 94]-NRT-code)	[i]
12	Linear OOA(3²⁰⁸, 66, F₃, 4, 99) (dual of [(66, 4), 56, 100]-NRT-code)	[i]		OOA Folding