Information on Result #1729168
Digital (74, 101, 976)-net over F8, using net defined by OOA based on linear OOA(8101, 976, F8, 33, 27) (dual of [(976, 33), 32107, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8101, 4881, F8, 3, 27) (dual of [(4881, 3), 14542, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8101, 4882, F8, 3, 27) (dual of [(4882, 3), 14545, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8101, 4882, F8, 27) (dual of [4882, 4781, 28]-code), using
- 774 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 6 times 0, 1, 19 times 0, 1, 52 times 0, 1, 124 times 0, 1, 233 times 0, 1, 332 times 0) [i] based on linear OA(893, 4100, F8, 27) (dual of [4100, 4007, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(893, 4096, F8, 27) (dual of [4096, 4003, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(889, 4096, F8, 26) (dual of [4096, 4007, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- 774 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 6 times 0, 1, 19 times 0, 1, 52 times 0, 1, 124 times 0, 1, 233 times 0, 1, 332 times 0) [i] based on linear OA(893, 4100, F8, 27) (dual of [4100, 4007, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8101, 4882, F8, 27) (dual of [4882, 4781, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(8101, 4882, F8, 3, 27) (dual of [(4882, 3), 14545, 28]-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.