MinT - Information on Result #1024281

Information on Result #1024281

Linear OOA(4²¹², 72, F₄, 3, 179) (dual of [(72, 3), 4, 180]-NRT-code), using repeating each code word 9 times based on linear OOA(4²⁰, 8, F₄, 3, 19) (dual of [(8, 3), 4, 20]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4²⁰, 9, F₄, 3, 19) (dual of [(9, 3), 7, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
  - the Hermitian function field over F₄ [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(4²¹², 72, F₄, 3, 178) (dual of [(72, 3), 4, 179]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4²¹², 72, F₄, 3, 177) (dual of [(72, 3), 4, 178]-NRT-code)	[i]
3	Linear OOA(4²¹², 72, F₄, 3, 176) (dual of [(72, 3), 4, 177]-NRT-code)	[i]
4	Linear OOA(4²¹², 72, F₄, 3, 175) (dual of [(72, 3), 4, 176]-NRT-code)	[i]
5	Linear OOA(4²¹², 72, F₄, 3, 174) (dual of [(72, 3), 4, 175]-NRT-code)	[i]