MinT - Information on Result #1847962

Information on Result #1847962

OOA(8²², 127025, S₈, 2, 5), using discarding parts of the base based on linear OOA(16¹⁶, 127025, F₁₆, 2, 5) (dual of [(127025, 2), 254034, 6]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(16¹⁶, 127025, F₁₆, 5) (dual of [127025, 127009, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(16¹⁶, 130579, F₁₆, 5) (dual of [130579, 130563, 6]-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OA(16², 17, F₁₆, 2) (dual of [17, 15, 3]-code or 17-arc in PG(1,16)), using
      - extended Reedâ€“Solomon code RS_e(15,16) [i]
      - Hamming code H(2,16) [i]
    2. linear OA(16¹⁴, 130562, F₁₆, 5) (dual of [130562, 130548, 6]-code), using
      - trace code [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]

Mode: Arbitrary.

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	OOA(8²², 127024, S₈, 3, 5)	[i]		OOA Stacking with Additional Row
2	OOA(8²², 127024, S₈, 6, 5)	[i]		OOA Stacking with Additional Row