Information on Result #1733100
Digital (122, 150, 77581)-net over F9, using net defined by OOA based on linear OOA(9150, 77581, F9, 33, 28) (dual of [(77581, 33), 2560023, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(9150, 387906, F9, 3, 28) (dual of [(387906, 3), 1163568, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9150, 387909, F9, 3, 28) (dual of [(387909, 3), 1163577, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9150, 387909, F9, 28) (dual of [387909, 387759, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(9150, 531465, F9, 28) (dual of [531465, 531315, 29]-code), using
- construction XX applied to Ce(27) ⊂ Ce(23) ⊂ Ce(22) [i] based on
- linear OA(9145, 531441, F9, 28) (dual of [531441, 531296, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(9121, 531441, F9, 23) (dual of [531441, 531320, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(94, 23, F9, 3) (dual of [23, 19, 4]-code or 23-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(27) ⊂ Ce(23) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(9150, 531465, F9, 28) (dual of [531465, 531315, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9150, 387909, F9, 28) (dual of [387909, 387759, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(9150, 387909, F9, 3, 28) (dual of [(387909, 3), 1163577, 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.