Information on Result #1729788
Digital (107, 138, 6153)-net over F8, using net defined by OOA based on linear OOA(8138, 6153, F8, 33, 31) (dual of [(6153, 33), 202911, 32]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8138, 30766, F8, 3, 31) (dual of [(30766, 3), 92160, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8138, 30768, F8, 3, 31) (dual of [(30768, 3), 92166, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8138, 30768, F8, 31) (dual of [30768, 30630, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(8138, 32781, F8, 31) (dual of [32781, 32643, 32]-code), using
- construction XX applied to Ce(30) ⊂ Ce(28) ⊂ Ce(27) [i] based on
- linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8126, 32768, F8, 29) (dual of [32768, 32642, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(8121, 32768, F8, 28) (dual of [32768, 32647, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(81, 12, F8, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(30) ⊂ Ce(28) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(8138, 32781, F8, 31) (dual of [32781, 32643, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8138, 30768, F8, 31) (dual of [30768, 30630, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(8138, 30768, F8, 3, 31) (dual of [(30768, 3), 92166, 32]-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.