MinT - Information on Result #941688

Information on Result #941688

Linear OOA(3²³⁸, 122, F₃, 2, 179) (dual of [(122, 2), 6, 180]-NRT-code), using juxtaposition based on

linear OOA(3¹⁴, 10, F₃, 2, 11) (dual of [(10, 2), 6, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3²¹⁸, 112, F₃, 2, 167) (dual of [(112, 2), 6, 168]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(9²⁵, 28, F₉, 23) (dual of [28, 3, 24]-code), using
    - Hermitian unital [i]
  2. linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [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		Method
1	Linear OOA(3²³⁸, 122, F₃, 2, 178) (dual of [(122, 2), 6, 179]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²³⁸, 122, F₃, 2, 177) (dual of [(122, 2), 6, 178]-NRT-code)	[i]
3	Linear OOA(3²³⁸, 122, F₃, 2, 176) (dual of [(122, 2), 6, 177]-NRT-code)	[i]
4	Linear OOA(3²³⁸, 122, F₃, 2, 175) (dual of [(122, 2), 6, 176]-NRT-code)	[i]
5	Linear OOA(3²³⁸, 122, F₃, 2, 174) (dual of [(122, 2), 6, 175]-NRT-code)	[i]
6	Linear OOA(3²³⁸, 122, F₃, 2, 173) (dual of [(122, 2), 6, 174]-NRT-code)	[i]
7	Linear OOA(3²³⁰, 118, F₃, 2, 171) (dual of [(118, 2), 6, 172]-NRT-code)	[i]	Truncation for OOAs
8	Linear OOA(3²²⁸, 117, F₃, 2, 169) (dual of [(117, 2), 6, 170]-NRT-code)	[i]
9	Linear OOA(3²²⁶, 116, F₃, 2, 167) (dual of [(116, 2), 6, 168]-NRT-code)	[i]
10	Linear OOA(3²²², 114, F₃, 2, 163) (dual of [(114, 2), 6, 164]-NRT-code)	[i]
11	Linear OOA(3²²¹, 113, F₃, 2, 162) (dual of [(113, 2), 5, 163]-NRT-code)	[i]
12	Linear OOA(3²²⁰, 113, F₃, 2, 161) (dual of [(113, 2), 6, 162]-NRT-code)	[i]
13	Linear OOA(3²¹⁹, 112, F₃, 2, 160) (dual of [(112, 2), 5, 161]-NRT-code)	[i]
14	Linear OOA(3²¹⁷, 111, F₃, 2, 158) (dual of [(111, 2), 5, 159]-NRT-code)	[i]
15	Linear OOA(3²¹⁵, 110, F₃, 2, 156) (dual of [(110, 2), 5, 157]-NRT-code)	[i]
16	Linear OOA(3²¹⁴, 110, F₃, 2, 155) (dual of [(110, 2), 6, 156]-NRT-code)	[i]
17	Linear OOA(3²¹³, 109, F₃, 2, 154) (dual of [(109, 2), 5, 155]-NRT-code)	[i]
18	Linear OOA(3²¹², 109, F₃, 2, 153) (dual of [(109, 2), 6, 154]-NRT-code)	[i]
19	Linear OOA(3²¹¹, 108, F₃, 2, 152) (dual of [(108, 2), 5, 153]-NRT-code)	[i]
20	Linear OOA(3²⁰⁹, 107, F₃, 2, 150) (dual of [(107, 2), 5, 151]-NRT-code)	[i]
21	Linear OOA(3²³⁸, 61, F₃, 4, 179) (dual of [(61, 4), 6, 180]-NRT-code)	[i]	OOA Folding