Information on Result #1729406
Digital (119, 147, 35512)-net over F8, using net defined by OOA based on linear OOA(8147, 35512, F8, 33, 28) (dual of [(35512, 33), 1171749, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8147, 177561, F8, 3, 28) (dual of [(177561, 3), 532536, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8147, 177564, F8, 3, 28) (dual of [(177564, 3), 532545, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8147, 177564, F8, 28) (dual of [177564, 177417, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(8147, 262159, F8, 28) (dual of [262159, 262012, 29]-code), using
- construction XX applied to Ce(27) ⊂ Ce(25) ⊂ Ce(24) [i] based on
- linear OA(8145, 262144, F8, 28) (dual of [262144, 261999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(81, 14, F8, 1) (dual of [14, 13, 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(27) ⊂ Ce(25) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(8147, 262159, F8, 28) (dual of [262159, 262012, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8147, 177564, F8, 28) (dual of [177564, 177417, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(8147, 177564, F8, 3, 28) (dual of [(177564, 3), 532545, 29]-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.