Information on Result #1725202
Digital (58, 70, 117655)-net over F7, using net defined by OOA based on linear OOA(770, 117655, F7, 15, 12) (dual of [(117655, 15), 1764755, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(770, 235311, F7, 3, 12) (dual of [(235311, 3), 705863, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(770, 235312, F7, 3, 12) (dual of [(235312, 3), 705866, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(770, 235312, F7, 12) (dual of [235312, 235242, 13]-code), using
- trace code [i] based on linear OA(4935, 117656, F49, 12) (dual of [117656, 117621, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- trace code [i] based on linear OA(4935, 117656, F49, 12) (dual of [117656, 117621, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(770, 235312, F7, 12) (dual of [235312, 235242, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(770, 235312, F7, 3, 12) (dual of [(235312, 3), 705866, 13]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.