MinT - Information on Result #1027346

Information on Result #1027346

Linear OOA(4²⁵⁸, 88, F₄, 3, 212) (dual of [(88, 3), 6, 213]-NRT-code), using juxtaposition based on

linear OOA(4¹⁵, 7, F₄, 3, 14) (dual of [(7, 3), 6, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁵, 9, F₄, 3, 14) (dual of [(9, 3), 12, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [i]
linear OOA(4²³⁷, 81, F₄, 3, 197) (dual of [(81, 3), 6, 198]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(4⁷⁵, 27, F₄, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4²⁵⁸, 88, F₄, 3, 211) (dual of [(88, 3), 6, 212]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4²⁵⁸, 88, F₄, 3, 210) (dual of [(88, 3), 6, 211]-NRT-code)	[i]		Strength Reduction for OOAs