Information on Result #1740660
Digital (13, 23, 376)-net over F32, using net defined by OOA based on linear OOA(3223, 376, F32, 14, 10) (dual of [(376, 14), 5241, 11]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3223, 1129, F32, 2, 10) (dual of [(1129, 2), 2235, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3223, 1131, F32, 2, 10) (dual of [(1131, 2), 2239, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3223, 1131, F32, 10) (dual of [1131, 1108, 11]-code), using
- 100 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 15 times 0, 1, 81 times 0) [i] based on linear OA(3219, 1027, F32, 10) (dual of [1027, 1008, 11]-code), using
- construction XX applied to C1 = C([1022,7]), C2 = C([0,8]), C3 = C1 + C2 = C([0,7]), and C∩ = C1 ∩ C2 = C([1022,8]) [i] based on
- linear OA(3217, 1023, F32, 9) (dual of [1023, 1006, 10]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,7}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(3217, 1023, F32, 9) (dual of [1023, 1006, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(3219, 1023, F32, 10) (dual of [1023, 1004, 11]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,8}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(3215, 1023, F32, 8) (dual of [1023, 1008, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([1022,7]), C2 = C([0,8]), C3 = C1 + C2 = C([0,7]), and C∩ = C1 ∩ C2 = C([1022,8]) [i] based on
- 100 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 15 times 0, 1, 81 times 0) [i] based on linear OA(3219, 1027, F32, 10) (dual of [1027, 1008, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3223, 1131, F32, 10) (dual of [1131, 1108, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(3223, 1131, F32, 2, 10) (dual of [(1131, 2), 2239, 11]-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.