MinT - Information on Result #1087997

Information on Result #1087997

Linear OOA(2²²⁰, 60, F₂, 4, 135) (dual of [(60, 4), 20, 136]-NRT-code), using concatenation of two NRT-codes based on

linear OA(32¹⁶, 20, F₃₂, 16) (dual of [20, 4, 17]-code or 20-arc in PG(15,32)), using
- discarding factors / shortening the dual code based on linear OA(32¹⁶, 32, F₃₂, 16) (dual of [32, 16, 17]-code or 32-arc in PG(15,32)), using
  - Reedâ€“Solomon code RS(16,32) [i]
linear OOA(2⁷, 3, F₂, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(4;5,2) [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(2²²¹, 60, F₂, 4, 135) (dual of [(60, 4), 19, 136]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²²³, 60, F₂, 4, 135) (dual of [(60, 4), 17, 136]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(2²¹⁸, 59, F₂, 4, 133) (dual of [(59, 4), 18, 134]-NRT-code)	[i]		Truncation for OOAs
4	Linear OOA(2²¹⁷, 59, F₂, 4, 132) (dual of [(59, 4), 19, 133]-NRT-code)	[i]
5	Linear OOA(2²¹⁶, 59, F₂, 4, 131) (dual of [(59, 4), 20, 132]-NRT-code)	[i]
6	Linear OOA(2²¹⁴, 58, F₂, 4, 129) (dual of [(58, 4), 18, 130]-NRT-code)	[i]
7	Linear OOA(2²¹³, 58, F₂, 4, 128) (dual of [(58, 4), 19, 129]-NRT-code)	[i]
8	Linear OOA(2²¹², 58, F₂, 4, 127) (dual of [(58, 4), 20, 128]-NRT-code)	[i]
9	Linear OOA(2²¹⁰, 57, F₂, 4, 125) (dual of [(57, 4), 18, 126]-NRT-code)	[i]
10	Linear OOA(2²⁰⁹, 57, F₂, 4, 124) (dual of [(57, 4), 19, 125]-NRT-code)	[i]
11	Linear OOA(2²⁰⁶, 56, F₂, 4, 121) (dual of [(56, 4), 18, 122]-NRT-code)	[i]
12	Linear OOA(2²⁰⁵, 56, F₂, 4, 120) (dual of [(56, 4), 19, 121]-NRT-code)	[i]
13	Linear OOA(2²²⁰, 30, F₂, 8, 135) (dual of [(30, 8), 20, 136]-NRT-code)	[i]		OOA Folding