Information on Result #1722510
Digital (87, 101, 325523)-net over F5, using net defined by OOA based on linear OOA(5101, 325523, F5, 21, 14) (dual of [(325523, 21), 6835882, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5101, 976570, F5, 3, 14) (dual of [(976570, 3), 2929609, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5101, 976572, F5, 3, 14) (dual of [(976572, 3), 2929615, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5101, 976572, F5, 2, 14) (dual of [(976572, 2), 1953043, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5101, 1953144, F5, 14) (dual of [1953144, 1953043, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(5100, 1953125, F5, 14) (dual of [1953125, 1953025, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(51, 19, F5, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(5101, 1953144, F5, 14) (dual of [1953144, 1953043, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5101, 976572, F5, 2, 14) (dual of [(976572, 2), 1953043, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5101, 976572, F5, 3, 14) (dual of [(976572, 3), 2929615, 15]-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.