Information on Result #1746310
Digital (52, 76, 121011)-net over F81, using net defined by OOA based on linear OOA(8176, 121011, F81, 28, 24) (dual of [(121011, 28), 3388232, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8176, 363034, F81, 4, 24) (dual of [(363034, 4), 1452060, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8176, 363036, F81, 4, 24) (dual of [(363036, 4), 1452068, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8176, 363036, F81, 24) (dual of [363036, 362960, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8176, 531468, F81, 24) (dual of [531468, 531392, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(16) [i] based on
- linear OA(8170, 531441, F81, 24) (dual of [531441, 531371, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(8149, 531441, F81, 17) (dual of [531441, 531392, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(816, 27, F81, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,81)), using
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- Reed–Solomon code RS(75,81) [i]
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- construction X applied to Ce(23) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(8176, 531468, F81, 24) (dual of [531468, 531392, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8176, 363036, F81, 24) (dual of [363036, 362960, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(8176, 363036, F81, 4, 24) (dual of [(363036, 4), 1452068, 25]-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.