Information on Result #1728120
Digital (68, 88, 6247)-net over F8, using net defined by OOA based on linear OOA(888, 6247, F8, 27, 20) (dual of [(6247, 27), 168581, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(888, 24989, F8, 3, 20) (dual of [(24989, 3), 74879, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(888, 24991, F8, 3, 20) (dual of [(24991, 3), 74885, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(888, 24991, F8, 20) (dual of [24991, 24903, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(888, 32781, F8, 20) (dual of [32781, 32693, 21]-code), using
- construction XX applied to Ce(19) ⊂ Ce(17) ⊂ Ce(16) [i] based on
- linear OA(886, 32768, F8, 20) (dual of [32768, 32682, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(871, 32768, F8, 17) (dual of [32768, 32697, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(81, 12, F8, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(19) ⊂ Ce(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(888, 32781, F8, 20) (dual of [32781, 32693, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(888, 24991, F8, 20) (dual of [24991, 24903, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(888, 24991, F8, 3, 20) (dual of [(24991, 3), 74885, 21]-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.