MinT - Information on Result #1740315

Information on Result #1740315

Linear OOA(27⁹⁵, 458, F₂₇, 38, 36) (dual of [(458, 38), 17309, 37]-NRT-code), using OOA 9-folding and stacking with additional row based on linear OOA(27⁹⁵, 4123, F₂₇, 2, 36) (dual of [(4123, 2), 8151, 37]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(27⁹⁵, 4124, F₂₇, 2, 36) (dual of [(4124, 2), 8153, 37]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(27⁹⁵, 4124, F₂₇, 36) (dual of [4124, 4029, 37]-code), using
  - 4028 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (3, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 16 times 0, 1, 18 times 0, 1, 20 times 0, 1, 22 times 0, 1, 25 times 0, 1, 27 times 0, 1, 30 times 0, 1, 33 times 0, 1, 36 times 0, 1, 40 times 0, 1, 45 times 0, 1, 49 times 0, 1, 54 times 0, 1, 60 times 0, 1, 65 times 0, 1, 73 times 0, 1, 80 times 0, 1, 88 times 0, 1, 96 times 0, 1, 107 times 0, 1, 117 times 0, 1, 129 times 0, 1, 142 times 0, 1, 156 times 0, 1, 172 times 0, 1, 188 times 0, 1, 208 times 0, 1, 229 times 0, 1, 251 times 0, 1, 276 times 0, 1, 304 times 0, 1, 334 times 0, 1, 367 times 0) [i] based on linear OA(27³⁶, 37, F₂₇, 36) (dual of [37, 1, 37]-code or 37-arc in PG(35,27)), using
    - dual of repetition code with length 37 [i]

Mode: Linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (59, 95, 458)-net over F₂₇	[i]		Net Defined by OOA