Information on Result #1716694
Digital (203, 237, 6416)-net over F3, using net defined by OOA based on linear OOA(3237, 6416, F3, 45, 34) (dual of [(6416, 45), 288483, 35]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3237, 25665, F3, 5, 34) (dual of [(25665, 5), 128088, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3237, 25667, F3, 5, 34) (dual of [(25667, 5), 128098, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3237, 25667, F3, 2, 34) (dual of [(25667, 2), 51097, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3237, 29557, F3, 2, 34) (dual of [(29557, 2), 58877, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3237, 59114, F3, 34) (dual of [59114, 58877, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3237, 59115, F3, 34) (dual of [59115, 58878, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3171, 59049, F3, 26) (dual of [59049, 58878, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(316, 66, F3, 7) (dual of [66, 50, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(3237, 59115, F3, 34) (dual of [59115, 58878, 35]-code), using
- OOA 2-folding [i] based on linear OA(3237, 59114, F3, 34) (dual of [59114, 58877, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(3237, 29557, F3, 2, 34) (dual of [(29557, 2), 58877, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3237, 25667, F3, 2, 34) (dual of [(25667, 2), 51097, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3237, 25667, F3, 5, 34) (dual of [(25667, 5), 128098, 35]-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.