MinT - Information on Result #2233790

Information on Result #2233790

Linear OA(3²⁰⁴, 255, F₃, 86) (dual of [255, 51, 87]-code), using 1 times truncation based on linear OA(3²⁰⁵, 256, F₃, 87) (dual of [256, 51, 88]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁴⁷, 64, F₂₇, 43) (dual of [64, 17, 44]-code), using
  - extended algebraic-geometric code AG_e(F,20P) [i] based on function field F/F₂₇ with g(F) = 4 and N(F) ≥ 64, using
    - a function field by SÃ©mirat [i]
2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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 OA(3²⁰⁶, 257, F₃, 86) (dual of [257, 51, 87]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(3²⁰⁷, 258, F₃, 86) (dual of [258, 51, 87]-code)	[i]
3	Linear OA(3²⁰⁸, 259, F₃, 86) (dual of [259, 51, 87]-code)	[i]
4	Linear OOA(3²⁰⁴, 127, F₃, 2, 86) (dual of [(127, 2), 50, 87]-NRT-code)	[i]	OOA Folding
5	Linear OOA(3²⁰⁴, 85, F₃, 3, 86) (dual of [(85, 3), 51, 87]-NRT-code)	[i]	OOA Folding