Information on Result #1716506
Digital (216, 248, 16260)-net over F3, using net defined by OOA based on linear OOA(3248, 16260, F3, 36, 32) (dual of [(16260, 36), 585112, 33]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3248, 65041, F3, 4, 32) (dual of [(65041, 4), 259916, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3248, 65044, F3, 4, 32) (dual of [(65044, 4), 259928, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3248, 65044, F3, 2, 32) (dual of [(65044, 2), 129840, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3248, 88609, F3, 2, 32) (dual of [(88609, 2), 176970, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3248, 177218, F3, 32) (dual of [177218, 176970, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- linear OA(3232, 177147, F3, 32) (dual of [177147, 176915, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3177, 177147, F3, 25) (dual of [177147, 176970, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(316, 71, F3, 6) (dual of [71, 55, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 80, F3, 6) (dual of [80, 64, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(316, 80, F3, 6) (dual of [80, 64, 7]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- OOA 2-folding [i] based on linear OA(3248, 177218, F3, 32) (dual of [177218, 176970, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(3248, 88609, F3, 2, 32) (dual of [(88609, 2), 176970, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3248, 65044, F3, 2, 32) (dual of [(65044, 2), 129840, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3248, 65044, F3, 4, 32) (dual of [(65044, 4), 259928, 33]-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.