MinT - Information on Result #2510710

Information on Result #2510710

Linear OOA(8¹¹¹, 114, F₈, 2, 56) (dual of [(114, 2), 117, 57]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(8¹⁰⁹, 113, F₈, 2, 56) (dual of [(113, 2), 117, 57]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8³⁹, 48, F₈, 2, 28) (dual of [(48, 2), 57, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,67P) [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
    - a function field by SÃ©mirat [i]
2. linear OOA(8⁷⁰, 65, F₈, 2, 56) (dual of [(65, 2), 60, 57]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,73P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [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(8¹¹¹, 57, F₈, 3, 56) (dual of [(57, 3), 60, 57]-NRT-code)	[i]		OOA Folding