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one line; (3) every point lies on w, lines; (4) either two lines are parallel (having no point in common), or they intersect at exactly one point. For such a geometry G, form a binary incidence matrix HG whose rows and columns correspond to the lines and points of G, respectively, with hi,j = 1 if and only if the ith line of G contains the j t h point of G. Then each row of HG portrays the points of G (and has weight w,)and each column portrays the lines of G (and has weight w,). Based on this idea, parity check matrices for codes are constructed [ 1941 that offer the following potential advantages: 1. Several different decoding algorithms exist, from one step majority logic decoders with low complexity, through the usual sum-productalgorithm with higher complexity. 2. The code can be extended by splitting each column of H. If done properly, performance within a few dB of capacity can be achieved. 3. Codes derived from finite geometries may be cyclic or nearly cyclic, structure that enables them to be efficiently encoded.

The program f i n d d f ree finds dkee for a given set of connection coefficients. It has been used to check these results. (Currently implemented only fork = 1 codes.)

enriched in the upper continental crust, and it has been estimated that their decay contributes 18 38 mW m 2 to the observed heat ow (Pollack & Chapman, 1977). Consequently up to about 60% of the heat ow in continental regions may be generated within the upper 10 20 km of the crust. The oceanic crust, however, is virtually barren of radioactive isotopes, and only about 4 mW m 2 can be attributed to this source. Over 96% of the oceanic heat ow must originate from beneath the crust, and so different processes of heat supply must act beneath continents and oceans (Sclater & Francheteau, 1970). Thus, a large proportion of the continental heat ow is from sources concentrated at a shallow depth, and only a small sub-crustal component is required. Conversely, the majority of oceanic heat ow must originate at sub-crustal levels. Because of the melting problems discussed above, this heat must be transported under the in uence of a low thermal gradient. The mechanism of heat transfer by convection is the only feasible process conforming to these constraints. Therefore, although heat transfer by conduction takes place within the rigid lithosphere, heat transfer by convection must predominate in the sublithospheric

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pleted task and one task not yet begun) Using the 50 50 approach, we enter into our accounts that we have completed $300 worth of effort with the three nished tasks, and we enter another $50 to take into account the task that has started but is not yet nished Because we have not yet begun the fth task, we enter nothing into the accounts for this task What is earned value Answer: $350 BCWS for the ve tasks is, of course, $500, and we can now use this gure to calculate schedule slippage That is, we have completed $350 worth of work, but we should have completed $500 worth of work, so the schedule has slipped to the tune of $150 worth of work (the slippage value is $150).

These data also enable us to calculate that we have completed only 70 percent (that is, 350/500 100) of the work scheduled on the ve tasks Some prefer a more conservative approach than the 50 50 rule, and they may adopt a 10 90 rule As soon as a task is begun, 10 percent of its value is entered into the project accounts As soon as it is completed, the remaining 90 percent of its value is entered Using this conservative rule to calculate BCWP, we nd that BCWP on our above example is now $310 This suggests that we are only 62 percent (that is, 310/500 100) nished with the ve tasks An even more conservative rule is the 0 100 approach, which would indicate in this example that we had achieved only 60 percent of the target (that is, 300/500 100).

$ 163 $ 247 $ 68 $ 526 $ 49 $ 749 $1,802 $3,002