MinT - Information on Result #1024380

Information on Result #1024380

Linear OOA(4²⁰⁶, 70, F₄, 3, 179) (dual of [(70, 3), 4, 180]-NRT-code), using repeating each code word 5 times based on linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
- an explicitly constructive algebraic function field [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(4²⁰⁶, 70, F₄, 3, 178) (dual of [(70, 3), 4, 179]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4²⁰⁶, 70, F₄, 3, 177) (dual of [(70, 3), 4, 178]-NRT-code)	[i]
3	Linear OOA(4²⁰⁶, 70, F₄, 3, 176) (dual of [(70, 3), 4, 177]-NRT-code)	[i]
4	Linear OOA(4²⁰⁶, 70, F₄, 3, 175) (dual of [(70, 3), 4, 176]-NRT-code)	[i]
5	Linear OOA(4²⁰⁶, 70, F₄, 3, 174) (dual of [(70, 3), 4, 175]-NRT-code)	[i]
6	Linear OOA(4²⁰⁶, 70, F₄, 3, 173) (dual of [(70, 3), 4, 174]-NRT-code)	[i]
7	Linear OOA(4²⁰⁶, 70, F₄, 3, 172) (dual of [(70, 3), 4, 173]-NRT-code)	[i]
8	Linear OOA(4²⁰⁶, 70, F₄, 3, 171) (dual of [(70, 3), 4, 172]-NRT-code)	[i]
9	Linear OOA(4²⁰⁶, 70, F₄, 3, 170) (dual of [(70, 3), 4, 171]-NRT-code)	[i]
10	Linear OOA(4²¹⁸, 74, F₄, 3, 188) (dual of [(74, 3), 4, 189]-NRT-code)	[i]	Juxtaposition for OOAs
11	Linear OOA(4²²¹, 75, F₄, 3, 191) (dual of [(75, 3), 4, 192]-NRT-code)	[i]
12	Linear OOA(4²²⁴, 76, F₄, 3, 193) (dual of [(76, 3), 4, 194]-NRT-code)	[i]
13	Linear OOA(4²²⁷, 77, F₄, 3, 196) (dual of [(77, 3), 4, 197]-NRT-code)	[i]
14	Linear OOA(4²³⁰, 78, F₄, 3, 199) (dual of [(78, 3), 4, 200]-NRT-code)	[i]
15	Linear OOA(4²³³, 79, F₄, 3, 202) (dual of [(79, 3), 4, 203]-NRT-code)	[i]
16	Linear OOA(4²³⁶, 80, F₄, 3, 204) (dual of [(80, 3), 4, 205]-NRT-code)	[i]