Information on Result #1731176
Digital (28, 41, 605)-net over F9, using net defined by OOA based on linear OOA(941, 605, F9, 15, 13) (dual of [(605, 15), 9034, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(941, 1211, F9, 3, 13) (dual of [(1211, 3), 3592, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(941, 1212, F9, 3, 13) (dual of [(1212, 3), 3595, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(941, 1212, F9, 13) (dual of [1212, 1171, 14]-code), using
- 471 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 12 times 0, 1, 36 times 0, 1, 82 times 0, 1, 140 times 0, 1, 192 times 0) [i] based on linear OA(934, 734, F9, 13) (dual of [734, 700, 14]-code), using
- construction XX applied to C1 = C([727,10]), C2 = C([0,11]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([727,11]) [i] based on
- linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(928, 728, F9, 11) (dual of [728, 700, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code) (see above)
- construction XX applied to C1 = C([727,10]), C2 = C([0,11]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([727,11]) [i] based on
- 471 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 12 times 0, 1, 36 times 0, 1, 82 times 0, 1, 140 times 0, 1, 192 times 0) [i] based on linear OA(934, 734, F9, 13) (dual of [734, 700, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(941, 1212, F9, 13) (dual of [1212, 1171, 14]-code), using
- discarding factors / shortening the dual code based on linear OOA(941, 1212, F9, 3, 13) (dual of [(1212, 3), 3595, 14]-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.