MinT - Information on Result #2803257

Information on Result #2803257

Linear OOA(3¹²⁸, 57, F₃, 4, 63) (dual of [(57, 4), 100, 64]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹²⁴, 56, F₃, 4, 63) (dual of [(56, 4), 100, 64]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁴⁶, 28, F₃, 4, 31) (dual of [(28, 4), 66, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,80P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁷⁸, 28, F₃, 4, 63) (dual of [(28, 4), 34, 64]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,48P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)

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(3¹²⁹, 57, F₃, 4, 63) (dual of [(57, 4), 99, 64]-NRT-code)	[i]		OOA Duplication