Information on Result #1729658
Digital (107, 137, 6559)-net over F8, using net defined by OOA based on linear OOA(8137, 6559, F8, 33, 30) (dual of [(6559, 33), 216310, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8137, 32796, F8, 3, 30) (dual of [(32796, 3), 98251, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8137, 32799, F8, 3, 30) (dual of [(32799, 3), 98260, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8137, 32799, F8, 30) (dual of [32799, 32662, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(86, 31, F8, 4) (dual of [31, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8137, 32799, F8, 30) (dual of [32799, 32662, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(8137, 32799, F8, 3, 30) (dual of [(32799, 3), 98260, 31]-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.